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252269125696 = 267289692
BaseRepresentation
bin1110101011110001101…
…0010110000001000000
3220010011001212101101201
43222330122112001000
513113121344010241
6311520230510544
724140315121400
oct3527432260100
9803131771351
10252269125696
1197a94387a45
1240a84505454
131aa34214113
14c2d1d24800
15686713c931
hex3abc696040

252269125696 has 63 divisors (see below), whose sum is σ = 582391528509. Its totient is φ = 108103285248.

The previous prime is 252269125673. The next prime is 252269125697. The reversal of 252269125696 is 696521962252.

The square root of 252269125696 is 502264.

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

It can be written as a sum of positive squares in only one way, i.e., 133271724096 + 118997401600 = 365064^2 + 344960^2 .

It is not an unprimeable number, because it can be changed into a prime (252269125697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28122300 + ... + 28131268.

Almost surely, 2252269125696 is an apocalyptic number.

252269125696 is the 502264-th square number.

It is an amenable number.

252269125696 is an abundant number, since it is smaller than the sum of its proper divisors (330122402813).

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

252269125696 is an frugal number, since it uses more digits than its factorization.

252269125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17964 (or 8978 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 252269125696 in words is "two hundred fifty-two billion, two hundred sixty-nine million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 8969 17938 35876 62783 71752 125566 143504 251132 287008 439481 502264 574016 878962 1004528 1757924 2009056 3515848 4018112 7031696 14063392 28126784 80442961 160885922 321771844 563100727 643543688 1126201454 1287087376 2252402908 2574174752 3941705089 4504805816 5148349504 7883410178 9009611632 15766820356 18019223264 31533640712 36038446528 63067281424 126134562848 252269125696