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10338881060 = 22529104916993
BaseRepresentation
bin10011010000011111…
…01100111000100100
3222200112102120112202
421220033230320210
5132133223143220
64425530034032
7514131016244
oct115017547044
928615376482
1010338881060
114426035402
122006578918
13c89c7c701
14701177b24
154079ec275
hex2683ece24

10338881060 has 48 divisors (see below), whose sum is σ = 22483062000. Its totient is φ = 3988905984.

The previous prime is 10338881057. The next prime is 10338881093. The reversal of 10338881060 is 6018883301.

It can be written as a sum of positive squares in 8 ways, for example, as 5345344 + 10333535716 = 2312^2 + 101654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599924 + ... + 616916.

It is an arithmetic number, because the mean of its divisors is an integer number (468397125).

Almost surely, 210338881060 is an apocalyptic number.

10338881060 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 10338881060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241531000).

10338881060 is an abundant number, since it is smaller than the sum of its proper divisors (12144180940).

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

10338881060 is a wasteful number, since it uses less digits than its factorization.

10338881060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18080 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 10338881060 in words is "ten billion, three hundred thirty-eight million, eight hundred eighty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1049 2098 4196 5245 10490 16993 20980 30421 33986 60842 67972 84965 121684 152105 169930 304210 339860 492797 608420 985594 1971188 2463985 4927970 9855940 17825657 35651314 71302628 89128285 178256570 356513140 516944053 1033888106 2067776212 2584720265 5169440530 10338881060