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10057344180 = 22351335336527
BaseRepresentation
bin10010101110111011…
…01110010010110100
3221221220200000112220
421113131232102310
5131044140003210
64341551442340
7504142005102
oct112735562264
927856600486
1010057344180
1142a11215a4
121b482263b0
13c43847640
146b5a0cc72
153dce38c70
hex25776e4b4

10057344180 has 96 divisors (see below), whose sum is σ = 30413505024. Its totient is φ = 2468573184.

The previous prime is 10057344173. The next prime is 10057344191. The reversal of 10057344180 is 8144375001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257077 + ... + 293603.

It is an arithmetic number, because the mean of its divisors is an integer number (316807344).

Almost surely, 210057344180 is an apocalyptic number.

10057344180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057344180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206752512).

10057344180 is an abundant number, since it is smaller than the sum of its proper divisors (20356160844).

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

10057344180 is a wasteful number, since it uses less digits than its factorization.

10057344180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36905 (or 36903 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10057344180 in words is "ten billion, fifty-seven million, three hundred forty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 353 390 706 780 1059 1412 1765 2118 3530 4236 4589 5295 7060 9178 10590 13767 18356 21180 22945 27534 36527 45890 55068 68835 73054 91780 109581 137670 146108 182635 219162 275340 365270 438324 474851 547905 730540 949702 1095810 1424553 1899404 2191620 2374255 2849106 4748510 5698212 7122765 9497020 12894031 14245530 25788062 28491060 38682093 51576124 64470155 77364186 128940310 154728372 167622403 193410465 257880620 335244806 386820930 502867209 670489612 773641860 838112015 1005734418 1676224030 2011468836 2514336045 3352448060 5028672090 10057344180