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10057243854 = 2375311339983
BaseRepresentation
bin10010101110111010…
…10101110011001110
3221221220110220221010
421113131111303032
5131044123300404
64341545350050
7504141106440
oct112735256316
927856426833
1010057243854
1142a1063189
121b48198326
13c43810a88
146b59c4490
153dce19189
hex257755cce

10057243854 has 64 divisors (see below), whose sum is σ = 23629584384. Its totient is φ = 2794262016.

The previous prime is 10057243849. The next prime is 10057243891. The reversal of 10057243854 is 45834275001.

It is a super-2 number, since 2×100572438542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231547 + ... + 271529.

It is an arithmetic number, because the mean of its divisors is an integer number (369212256).

Almost surely, 210057243854 is an apocalyptic number.

10057243854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057243854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814792192).

10057243854 is an abundant number, since it is smaller than the sum of its proper divisors (13572340530).

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

10057243854 is a wasteful number, since it uses less digits than its factorization.

10057243854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40161.

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 10057243854 in words is "ten billion, fifty-seven million, two hundred forty-three thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 113 159 226 318 339 371 678 742 791 1113 1582 2226 2373 4746 5989 11978 17967 35934 39983 41923 79966 83846 119949 125769 239898 251538 279881 559762 839643 1679286 2119099 4238198 4518079 6357297 9036158 12714594 13554237 14833693 27108474 29667386 31626553 44501079 63253106 89002158 94879659 189759318 239458187 478916374 718374561 1436749122 1676207309 3352414618 5028621927 10057243854