Search a number
-
+
25528286080 = 2751116212237
BaseRepresentation
bin10111110001100110…
…101011101110000000
32102220002222022002001
4113301212223232000
5404240220123310
615421051433344
71562420565013
oct276146535600
972802868061
1025528286080
11a9100631a0
124b45455854
13253ab1342b
1413425c337a
159e627693a
hex5f19abb80

25528286080 has 128 divisors (see below), whose sum is σ = 66647460960. Its totient is φ = 9273139200.

The previous prime is 25528286059. The next prime is 25528286111. The reversal of 25528286080 is 8068282552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 25528286080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11410722 + ... + 11412958.

Almost surely, 225528286080 is an apocalyptic number.

25528286080 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 25528286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323730480).

25528286080 is an abundant number, since it is smaller than the sum of its proper divisors (41119174880).

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

25528286080 is a wasteful number, since it uses less digits than its factorization.

25528286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 25528286080 in words is "twenty-five billion, five hundred twenty-eight million, two hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1621 1760 2237 3242 3520 4474 6484 7040 8105 8948 11185 12968 16210 17831 17896 22370 24607 25936 32420 35662 35792 44740 49214 51872 64840 71324 71584 89155 89480 98428 103744 123035 129680 142648 143168 178310 178960 196856 207488 246070 259360 285296 286336 356620 357920 393712 492140 518720 570592 713240 715840 787424 984280 1037440 1141184 1426480 1431680 1574848 1968560 2282368 2852960 3149696 3626177 3937120 5705920 7252354 7874240 11411840 14504708 15748480 18130885 29009416 36261770 39887947 58018832 72523540 79775894 116037664 145047080 159551788 199439735 232075328 290094160 319103576 398879470 464150656 580188320 638207152 797758940 1160376640 1276414304 1595517880 2320753280 2552828608 3191035760 5105657216 6382071520 12764143040 25528286080