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25387960896 = 263422132
BaseRepresentation
bin10111101001001111…
…011000101001000000
32102112022221001010000
4113221033120221000
5403443304222041
615355120040000
71556065051464
oct275117305100
972468831100
1025387960896
11a848929871
124b06463000
132517a2108c
14132bad64a4
159d8ca8bb6
hex5e93d8a40

25387960896 has 105 divisors (see below), whose sum is σ = 75291891961. Its totient is φ = 8458829568.

The previous prime is 25387960891. The next prime is 25387960921. The reversal of 25387960896 is 69806978352.

The square root of 25387960896 is 159336.

It is a perfect power (a square), and thus also a powerful number.

25387960896 is a `hidden beast` number, since 2 + 538 + 7 + 9 + 6 + 0 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25204737600 + 183223296 = 158760^2 + 13536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25387960891) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11471086 + ... + 11473298.

Almost surely, 225387960896 is an apocalyptic number.

25387960896 is the 159336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25387960896

25387960896 is an abundant number, since it is smaller than the sum of its proper divisors (49903931065).

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

25387960896 is an frugal number, since it uses more digits than its factorization.

25387960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 25387960896 in words is "twenty-five billion, three hundred eighty-seven million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2213 2592 4426 5184 6639 8852 13278 17704 19917 26556 35408 39834 53112 59751 70816 79668 106224 119502 141632 159336 179253 212448 239004 318672 358506 424896 478008 637344 717012 956016 1274688 1434024 1912032 2868048 3824064 4897369 5736096 9794738 11472192 14692107 19589476 29384214 39178952 44076321 58768428 78357904 88152642 117536856 132228963 156715808 176305284 235073712 264457926 313431616 352610568 396686889 470147424 528915852 705221136 793373778 940294848 1057831704 1410442272 1586747556 2115663408 2820884544 3173495112 4231326816 6346990224 8462653632 12693980448 25387960896