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25714688164 = 221123721972
BaseRepresentation
bin10111111100101101…
…110000000010100100
32110101002201111122221
4113330231300002210
5410130430010124
615451351002124
71600143146224
oct277455600244
973332644587
1025714688164
11a9a62a8900
124b97969344
13256a619319
14135d266084
15a077e6ce4
hex5fcb700a4

25714688164 has 81 divisors (see below), whose sum is σ = 51095932419. Its totient is φ = 11314860480.

The previous prime is 25714688117. The next prime is 25714688171. The reversal of 25714688164 is 46188641752.

The square root of 25714688164 is 160358.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20379846564 + 5334841600 = 142758^2 + 73040^2 .

It is a super-2 number, since 2×257146881642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130531314 + ... + 130531510.

Almost surely, 225714688164 is an apocalyptic number.

25714688164 is the 160358-th square number.

It is an amenable number.

25714688164 is a deficient number, since it is larger than the sum of its proper divisors (25381244255).

25714688164 is a wasteful number, since it uses less digits than its factorization.

25714688164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 25714688164 in words is "twenty-five billion, seven hundred fourteen million, six hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 74 121 148 197 242 394 407 484 788 814 1369 1628 2167 2738 4334 4477 5476 7289 8668 8954 14578 15059 17908 23837 29156 30118 38809 47674 60236 77618 80179 95348 155236 160358 165649 269693 320716 331298 426899 539386 662596 853798 881969 1078772 1435933 1707596 1763938 2871866 2966623 3527876 4695889 5743732 5933246 9391778 11866492 15795263 18783556 31590526 32632853 53129521 63181052 65265706 106259042 130531412 173747893 212518084 347495786 584424731 694991572 1168849462 2337698924 6428672041 12857344082 25714688164