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25542514204240 = 245111011372097679
BaseRepresentation
bin1011100111011000101000…
…11111000101111001010000
310100102211200201202200122111
411303230110133011321100
511321442032114013430
6130154022524515104
75244246212312635
oct563542437057120
9110384621680574
1025542514204240
118158579415980
122a463883aba94
13113385840bb27
1464439b2a218c
152e46457a6c2a
hex173b147c5e50

25542514204240 has 160 divisors (see below), whose sum is σ = 65904138293760. Its totient is φ = 9129094656000.

The previous prime is 25542514204219. The next prime is 25542514204279. The reversal of 25542514204240 is 4240241524552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25542514204193 and 25542514204202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11127721 + ... + 13225399.

It is an arithmetic number, because the mean of its divisors is an integer number (411900864336).

Almost surely, 225542514204240 is an apocalyptic number.

25542514204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25542514204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32952069146880).

25542514204240 is an abundant number, since it is smaller than the sum of its proper divisors (40361624089520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25542514204240 is a wasteful number, since it uses less digits than its factorization.

25542514204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097941 (or 2097935 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 25542514204240 its reverse (4240241524552), we get a palindrome (29782755728792).

The spelling of 25542514204240 in words is "twenty-five trillion, five hundred forty-two billion, five hundred fourteen million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 137 176 202 220 274 404 440 505 548 685 808 880 1010 1096 1111 1370 1507 1616 2020 2192 2222 2740 3014 4040 4444 5480 5555 6028 7535 8080 8888 10960 11110 12056 13837 15070 17776 22220 24112 27674 30140 44440 55348 60280 69185 88880 110696 120560 138370 152207 221392 276740 304414 553480 608828 761035 1106960 1217656 1522070 2097679 2435312 3044140 4195358 6088280 8390716 10488395 12176560 16781432 20976790 23074469 33562864 41953580 46148938 83907160 92297876 115372345 167814320 184595752 211865579 230744690 287382023 369191504 423731158 461489380 574764046 847462316 922978760 1059327895 1149528092 1436910115 1694924632 1845957520 2118655790 2299056184 2330521369 2873820230 3161202253 3389849264 4237311580 4598112368 4661042738 5747640460 6322404506 8474623160 9322085476 11495280920 11652606845 12644809012 15806011265 16949246320 18644170952 22990561840 23305213690 25289618024 29025584323 31612022530 37288341904 46610427380 50579236048 58051168646 63224045060 93220854760 116102337292 126448090120 145127921615 186441709520 232204674584 252896180240 290255843230 319281427553 464409349168 580511686460 638562855106 1161023372920 1277125710212 1596407137765 2322046745840 2554251420424 3192814275530 5108502840848 6385628551060 12771257102120 25542514204240