Search a number
-
+
25541311040 = 265713187041
BaseRepresentation
bin10111110010011000…
…010111101001000000
32102221000111000221222
4113302120113221000
5404302033423130
615422234534212
71562636363450
oct276230275100
972830430858
1025541311040
11a91744a023
124b49897368
132540723acb
141344213d60
159e749ace5
hex5f2617a40

25541311040 has 112 divisors (see below), whose sum is σ = 70040260224. Its totient is φ = 8690073600.

The previous prime is 25541311001. The next prime is 25541311049. The reversal of 25541311040 is 4011314552.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (25541311049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249920 + ... + 336960.

Almost surely, 225541311040 is an apocalyptic number.

25541311040 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 25541311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020130112).

25541311040 is an abundant number, since it is smaller than the sum of its proper divisors (44498949184).

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

25541311040 is a wasteful number, since it uses less digits than its factorization.

25541311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87196 (or 87186 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 25541311040 its reverse (4011314552), we get a palindrome (29552625592).

The spelling of 25541311040 in words is "twenty-five billion, five hundred forty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 131 140 160 224 262 280 320 448 524 560 655 917 1048 1120 1310 1834 2096 2240 2620 3668 4192 4585 5240 7336 8384 9170 10480 14672 18340 20960 29344 36680 41920 58688 73360 87041 146720 174082 293440 348164 435205 609287 696328 870410 1218574 1392656 1740820 2437148 2785312 3046435 3481640 4874296 5570624 6092870 6963280 9748592 11402371 12185740 13926560 19497184 22804742 24371480 27853120 38994368 45609484 48742960 57011855 79816597 91218968 97485920 114023710 159633194 182437936 194971840 228047420 319266388 364875872 399082985 456094840 638532776 729751744 798165970 912189680 1277065552 1596331940 1824379360 2554131104 3192663880 3648758720 5108262208 6385327760 12770655520 25541311040