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274941996890625 = 3656176
BaseRepresentation
bin111110100000111011101100…
…000011101111101000000001
31100001111012100111021201000000
4332200323230003233220001
5242014122202201000000
62412430335405350213
7111624621663406611
oct7640735403575001
91301435314251000
10274941996890625
117a6722785813a9
1226a05726568369
13ba54bc422893c
144bc7399668a41
1521bbd14000000
hexfa0eec0efa01

274941996890625 has 343 divisors, whose sum is σ = 547478549430961. Its totient is φ = 138010100400000.

The previous prime is 274941996890597. The next prime is 274941996890651. The reversal of 274941996890625 is 526098699149472.

The square root of 274941996890625 is 16581375.

The cubic root of 274941996890625 is 65025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

274941996890625 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 419 + 96 + 8 + 90 + 6 + 25 = 666.

274941996890625 is digitally balanced in base 2, 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 24 ways, for example, as 54326466681201 + 220615530209424 = 7370649^2 + 14853132^2 .

It is not a de Polignac number, because 274941996890625 - 223 = 274941988502017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 342 ways as a sum of consecutive naturals, for example, 16173058640617 + ... + 16173058640633.

Almost surely, 2274941996890625 is an apocalyptic number.

274941996890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

274941996890625 is the 16581375-th square number.

274941996890625 is the 8290688-th centered octagonal number.

It is an amenable number.

274941996890625 is a deficient number, since it is larger than the sum of its proper divisors (272536552540336).

274941996890625 is an frugal number, since it uses more digits than its factorization.

274941996890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

274941996890625 divided by its sum of digits (81) gives a square (3394345640625 = 18423752).

The spelling of 274941996890625 in words is "two hundred seventy-four trillion, nine hundred forty-one billion, nine hundred ninety-six million, eight hundred ninety thousand, six hundred twenty-five".