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103037374384960 = 2652417133219609
BaseRepresentation
bin10111011011011001000010…
…000110010100101101000000
3111111211021110210002021111211
4113123121002012110231000
5102001131020320304320
61003050414421015504
730463130122342651
oct2733310206245500
9444737423067454
10103037374384960
112a9159a5730504
12b681400254594
1345654c8a87322
141b6306d6c7528
15bda38a25a55a
hex5db642194b40

103037374384960 has 56 divisors (see below), whose sum is σ = 245459262938760. Its totient is φ = 41197897334784.

The previous prime is 103037374384951. The next prime is 103037374384993. The reversal of 103037374384960 is 69483473730301.

It can be written as a sum of positive squares in 4 ways, for example, as 56256480186624 + 46780894198336 = 7500432^2 + 6839656^2 .

It is a super-2 number, since 2×1030373743849602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103037374384895 and 103037374384904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65836365 + ... + 67383244.

Almost surely, 2103037374384960 is an apocalyptic number.

103037374384960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103037374384960 is an abundant number, since it is smaller than the sum of its proper divisors (142421888553800).

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

103037374384960 is a wasteful number, since it uses less digits than its factorization.

103037374384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133222043 (or 133222033 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 58.

The spelling of 103037374384960 in words is "one hundred three trillion, thirty-seven billion, three hundred seventy-four million, three hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2417 4834 9668 12085 19336 24170 38672 48340 77344 96680 154688 193360 386720 773440 133219609 266439218 532878436 666098045 1065756872 1332196090 2131513744 2664392180 4263027488 5328784360 8526054976 10657568720 21315137440 42630274880 321991794953 643983589906 1287967179812 1609958974765 2575934359624 3219917949530 5151868719248 6439835899060 10303737438496 12879671798120 20607474876992 25759343596240 51518687192480 103037374384960