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252648480933 = 3217297135133
BaseRepresentation
bin1110101101001100000…
…1011110000010100101
3220011010111200121221200
43223103001132002211
513114411002342213
6312022021433113
724152602440342
oct3532301360245
9804114617850
10252648480933
1198169532172
1240b6b56b799
131aa949a7984
14c32a4737c9
15688a5c4273
hex3ad305e0a5

252648480933 has 18 divisors (see below), whose sum is σ = 387666319794. Its totient is φ = 158524535424.

The previous prime is 252648480893. The next prime is 252648480943. The reversal of 252648480933 is 339084846252.

252648480933 is a `hidden beast` number, since 2 + 52 + 6 + 484 + 80 + 9 + 33 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 173641390209 + 79007090724 = 416703^2 + 281082^2 .

It is not a de Polignac number, because 252648480933 - 26 = 252648480869 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252648480933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252648480943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48564966 + ... + 48570167.

Almost surely, 2252648480933 is an apocalyptic number.

It is an amenable number.

252648480933 is a deficient number, since it is larger than the sum of its proper divisors (135017838861).

252648480933 is a wasteful number, since it uses less digits than its factorization.

252648480933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97135173 (or 97135153 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 252648480933 in words is "two hundred fifty-two billion, six hundred forty-eight million, four hundred eighty thousand, nine hundred thirty-three".

Divisors: 1 3 9 17 51 153 289 867 2601 97135133 291405399 874216197 1651297261 4953891783 14861675349 28072053437 84216160311 252648480933