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252937306980 = 2232511931177877
BaseRepresentation
bin1110101110010000111…
…1010000001101100100
3220011212122011111210200
43223210033100031210
513121003422310410
6312110420150500
724163010430651
oct3534417201544
9804778144720
10252937306980
11982a7574486
1241030238430
131ab0c792767
14c356978c28
1568a5b273c0
hex3ae43d0364

252937306980 has 72 divisors (see below), whose sum is σ = 767886937272. Its totient is φ = 67393353216.

The previous prime is 252937306961. The next prime is 252937306997. The reversal of 252937306980 is 89603739252.

It is a happy number.

252937306980 is a `hidden beast` number, since 2 + 529 + 3 + 7 + 30 + 6 + 9 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346629924 + 252590677056 = 18618^2 + 502584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374199 + ... + 803678.

It is an arithmetic number, because the mean of its divisors is an integer number (10665096351).

Almost surely, 2252937306980 is an apocalyptic number.

252937306980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252937306980 is an abundant number, since it is smaller than the sum of its proper divisors (514949630292).

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

252937306980 is a wasteful number, since it uses less digits than its factorization.

252937306980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179085 (or 1179080 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 252937306980 in words is "two hundred fifty-two billion, nine hundred thirty-seven million, three hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1193 2386 3579 4772 5965 7158 10737 11930 14316 17895 21474 23860 35790 42948 53685 71580 107370 214740 1177877 2355754 3533631 4711508 5889385 7067262 10600893 11778770 14134524 17668155 21201786 23557540 35336310 42403572 53004465 70672620 106008930 212017860 1405207261 2810414522 4215621783 5620829044 7026036305 8431243566 12646865349 14052072610 16862487132 21078108915 25293730698 28104145220 42156217830 50587461396 63234326745 84312435660 126468653490 252937306980