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5106415116 = 22311733311601
BaseRepresentation
bin1001100000101110…
…11011011000001100
3111011212121202122210
410300113123120030
540424220240431
62202412110420
7240353545425
oct46027333014
914155552583
105106415116
112190490290
12ba6165410
13634c0a30a
1436628264c
151ed476d46
hex1305db60c

5106415116 has 96 divisors (see below), whose sum is σ = 13224266496. Its totient is φ = 1520640000.

The previous prime is 5106415099. The next prime is 5106415141. The reversal of 5106415116 is 6115146015.

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, 3188716 + ... + 3190316.

It is an arithmetic number, because the mean of its divisors is an integer number (137752776).

Almost surely, 25106415116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106415116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612133248).

5106415116 is an abundant number, since it is smaller than the sum of its proper divisors (8117851380).

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

5106415116 is a wasteful number, since it uses less digits than its factorization.

5106415116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5106415116 is about 71459.1849659650. The cubic root of 5106415116 is about 1722.0220401026.

The spelling of 5106415116 in words is "five billion, one hundred six million, four hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 331 438 662 803 876 993 1324 1601 1606 1986 2409 3202 3212 3641 3972 4803 4818 6404 7282 9606 9636 10923 14564 17611 19212 21846 24163 35222 43692 48326 52833 70444 72489 96652 105666 116873 144978 211332 233746 265793 289956 350619 467492 529931 531586 701238 797379 1059862 1063172 1285603 1402476 1589793 1594758 2119724 2571206 3179586 3189516 3856809 5142412 5829241 6359172 7713618 11658482 15427236 17487723 23316964 34975446 38684963 69950892 77369926 116054889 154739852 232109778 425534593 464219556 851069186 1276603779 1702138372 2553207558 5106415116