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25743689982976 = 21072226512
BaseRepresentation
bin1011101101001111010110…
…11111110010010000000000
310101011001222000111010100111
411312213223133302100000
511333241034113423401
6130430253220001104
75264630431235200
oct566475337622000
9111131860433314
1025743689982976
11822592394a039
122a79371830194
1311498091c1864
146500035aa400
152e99bc07ee51
hex1769eb7f2400

25743689982976 has 99 divisors (see below), whose sum is σ = 59866880965587. Its totient is φ = 11032522905600.

The previous prime is 25743689982961. The next prime is 25743689983007. The reversal of 25743689982976 is 67928998634752.

The square root of 25743689982976 is 5073824.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25743689982893 and 25743689982902.

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 8 ways as a sum of consecutive naturals, for example, 1136525251 + ... + 1136547901.

Almost surely, 225743689982976 is an apocalyptic number.

25743689982976 is the 5073824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25743689982976

25743689982976 is an abundant number, since it is smaller than the sum of its proper divisors (34123190982611).

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

25743689982976 is an frugal number, since it uses more digits than its factorization.

25743689982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 22660 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 85.

The spelling of 25743689982976 in words is "twenty-five trillion, seven hundred forty-three billion, six hundred eighty-nine million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 22651 25088 45302 50176 90604 158557 181208 317114 362416 634228 724832 1109899 1268456 1449664 2219798 2536912 2899328 4439596 5073824 5798656 8879192 10147648 11597312 17758384 20295296 23194624 35516768 40590592 71033536 81181184 142067072 162362368 284134144 513067801 568268288 1026135602 1136536576 2052271204 3591474607 4104542408 7182949214 8209084816 14365898428 16418169632 25140322249 28731796856 32836339264 50280644498 57463593712 65672678528 100561288996 114927187424 131345357056 201122577992 229854374848 262690714112 402245155984 459708749696 525381428224 804490311968 919417499392 1608980623936 1838834998784 3217961247872 3677669997568 6435922495744 12871844991488 25743689982976