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27403916265625 = 56418792
BaseRepresentation
bin1100011101100011110001…
…01100011100100010011001
310121000210022001010202111211
412032301320230130202121
512042441210031000000
6134141104011023121
75525603406631144
oct616617054344231
9117023261122454
1027403916265625
118805a3234a039
1230a709013aaa1
13123a241702023
146aa4dc81105b
15327c8abb37ba
hex18ec78b1c899

27403916265625 has 21 divisors (see below), whose sum is σ = 34255274827651. Its totient is φ = 21922609525000.

The previous prime is 27403916265613. The next prime is 27403916265637. The reversal of 27403916265625 is 52656261930472.

It is a happy number.

The square root of 27403916265625 is 5234875.

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

It is an interprime number because it is at equal distance from previous prime (27403916265613) and next prime (27403916265637).

It can be written as a sum of positive squares in 3 ways, for example, as 24008461424649 + 3395454840976 = 4899843^2 + 1842676^2 .

It is not a de Polignac number, because 27403916265625 - 213 = 27403916257433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27403916265625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 654338436 + ... + 654380314.

Almost surely, 227403916265625 is an apocalyptic number.

27403916265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27403916265625 is the 5234875-th square number.

27403916265625 is the 2617438-th centered octagonal number.

It is an amenable number.

27403916265625 is a deficient number, since it is larger than the sum of its proper divisors (6851358562026).

27403916265625 is an frugal number, since it uses more digits than its factorization.

27403916265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83788 (or 41884 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 27403916265625 in words is "twenty-seven trillion, four hundred three billion, nine hundred sixteen million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 15625 41879 209395 1046975 5234875 26174375 130871875 654359375 1753850641 8769253205 43846266025 219231330125 1096156650625 5480783253125 27403916265625