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252968276754 = 232291369735381
BaseRepresentation
bin1110101110011000010…
…1011001001100010010
3220011221210102221100100
43223212011121030102
513121034334324004
6312113444033230
724163534605564
oct3534605311422
9804853387310
10252968276754
1198312aa7536
124103a692816
131ab16016c7b
14c35ab1b334
1568a86e3739
hex3ae6159312

252968276754 has 48 divisors (see below), whose sum is σ = 567055284120. Its totient is φ = 81406832640.

The previous prime is 252968276753. The next prime is 252968276797. The reversal of 252968276754 is 457672869252.

252968276754 is a `hidden beast` number, since 2 + 5 + 296 + 8 + 276 + 75 + 4 = 666.

252968276754 is digitally balanced in base 3, 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 4 ways, for example, as 198269825625 + 54698451129 = 445275^2 + 233877^2 .

It is a junction number, because it is equal to n+sod(n) for n = 252968276691 and 252968276700.

It is not an unprimeable number, because it can be changed into a prime (252968276753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7132144 + ... + 7167524.

Almost surely, 2252968276754 is an apocalyptic number.

252968276754 is an abundant number, since it is smaller than the sum of its proper divisors (314087007366).

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

252968276754 is a wasteful number, since it uses less digits than its factorization.

252968276754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49115 (or 49112 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 252968276754 in words is "two hundred fifty-two billion, nine hundred sixty-eight million, two hundred seventy-six thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 13697 27394 35381 41091 70762 82182 106143 123273 212286 246546 318429 397213 636858 794426 1026049 1191639 2052098 2383278 3078147 3574917 6156294 7149834 9234441 18468882 484613557 969227114 1453840671 2907681342 4361522013 8723044026 14053793153 28107586306 42161379459 84322758918 126484138377 252968276754