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25696869747264 = 26322112172
BaseRepresentation
bin1011101011111000001001…
…10010110000101001000000
310100222121010000221201022100
411311330010302300221000
511332004142123403024
6130352551243510400
75261352246632232
oct565740462605100
9110877100851270
1025696869747264
118207a88068a61
122a70285828400
131145287156b81
1464ba412b8252
152e867b93c7c9
hex175f04cb0a40

25696869747264 has 63 divisors (see below), whose sum is σ = 73655786138857. Its totient is φ = 8565582695424.

The previous prime is 25696869747259. The next prime is 25696869747337. The reversal of 25696869747264 is 46274796869652.

The square root of 25696869747264 is 5069208.

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

25696869747264 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 6 + 86 + 9 + 7 + 472 + 64 = 666.

25696869747264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17484105960000 + 8212763787264 = 4181400^2 + 2865792^2 .

It is a super-2 number, since 2×256968697472642 (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121555384 + ... + 121766600.

Almost surely, 225696869747264 is an apocalyptic number.

25696869747264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25696869747264 is the 5069208-th square number.

It is an amenable number.

25696869747264 is an abundant number, since it is smaller than the sum of its proper divisors (47958916391593).

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

25696869747264 is an frugal number, since it uses more digits than its factorization.

25696869747264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422452 (or 211222 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 81.

The spelling of 25696869747264 in words is "twenty-five trillion, six hundred ninety-six billion, eight hundred sixty-nine million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 211217 422434 633651 844868 1267302 1689736 1900953 2534604 3379472 3801906 5069208 6758944 7603812 10138416 13517888 15207624 20276832 30415248 40553664 60830496 121660992 44612621089 89225242178 133837863267 178450484356 267675726534 356900968712 401513589801 535351453068 713801937424 803027179602 1070702906136 1427603874848 1606054359204 2141405812272 2855207749696 3212108718408 4282811624544 6424217436816 8565623249088 12848434873632 25696869747264