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10057734372 = 2237130192033
BaseRepresentation
bin10010101110111110…
…01101100011100100
3221221221101211210110
421113133031203210
5131044234444442
64342004053020
7504145221510
oct112737154344
927857354713
1010057734372
1142a1368774
121b48394170
13c4395311a
146b5ab1140
153dceb469c
hex2577cd8e4

10057734372 has 48 divisors (see below), whose sum is σ = 26841532032. Its totient is φ = 2871398400.

The previous prime is 10057734371. The next prime is 10057734391. The reversal of 10057734372 is 27343775001.

It is a self number, because there is not a number n which added to its sum of digits gives 10057734372.

It is not an unprimeable number, because it can be changed into a prime (10057734371) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63268 + ... + 155300.

It is an arithmetic number, because the mean of its divisors is an integer number (559198584).

Almost surely, 210057734372 is an apocalyptic number.

10057734372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10057734372 is an abundant number, since it is smaller than the sum of its proper divisors (16783797660).

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

10057734372 is a wasteful number, since it uses less digits than its factorization.

10057734372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93348 (or 93346 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

It can be divided in two parts, 1005 and 7734372, that added together give a palindrome (7735377).

The spelling of 10057734372 in words is "ten billion, fifty-seven million, seven hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1301 2602 3903 5204 7806 9107 15612 18214 27321 36428 54642 92033 109284 184066 276099 368132 552198 644231 1104396 1288462 1932693 2576924 3865386 7730772 119734933 239469866 359204799 478939732 718409598 838144531 1436819196 1676289062 2514433593 3352578124 5028867186 10057734372