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5007157188 = 22311434671889
BaseRepresentation
bin1001010100111001…
…10010011111000100
3110220221211221101020
410222130302133010
540223313012223
62144504431140
7235040063625
oct45234623704
913827757336
105007157188
11213a456340
12b78a784b0
1361a496507
14357005a4c
151e48bc1e3
hex12a7327c4

5007157188 has 96 divisors (see below), whose sum is σ = 13076743680. Its totient is φ = 1478077440.

The previous prime is 5007157187. The next prime is 5007157193. The reversal of 5007157188 is 8817517005.

It is not an unprimeable number, because it can be changed into a prime (5007157187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649748 + ... + 2651636.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 25007157188 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 5007157188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

5007157188 is an abundant number, since it is smaller than the sum of its proper divisors (8069586492).

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

5007157188 is a wasteful number, since it uses less digits than its factorization.

5007157188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 42.

The square root of 5007157188 is about 70761.2689824031. The cubic root of 5007157188 is about 1710.7914656339.

The spelling of 5007157188 in words is "five billion, seven million, one hundred fifty-seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 467 473 516 934 946 1401 1419 1868 1889 1892 2802 2838 3778 5137 5604 5667 5676 7556 10274 11334 15411 20081 20548 20779 22668 30822 40162 41558 60243 61644 62337 80324 81227 83116 120486 124674 162454 220891 240972 243681 249348 324908 441782 487362 662673 882163 883564 893497 974724 1325346 1764326 1786994 2646489 2650692 2680491 3528652 3573988 5292978 5360982 9703793 10585956 10721964 19407586 29111379 37933009 38815172 58222758 75866018 113799027 116445516 151732036 227598054 417263099 455196108 834526198 1251789297 1669052396 2503578594 5007157188