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5107078152 = 23321110959159
BaseRepresentation
bin1001100000110011…
…11101010000001000
3111011220212110011200
410300121331100020
540424403000102
62202434224200
7240362306451
oct46031752010
914156773150
105107078152
1121908a3450
12ba6425060
136350b0047
143663b6128
151ed55851c
hex13067d408

5107078152 has 96 divisors (see below), whose sum is σ = 15227784000. Its totient is φ = 1533375360.

The previous prime is 5107078127. The next prime is 5107078181. The reversal of 5107078152 is 2518707015.

5107078152 is a `hidden beast` number, since 510 + 70 + 78 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56749 + ... + 115907.

It is an arithmetic number, because the mean of its divisors is an integer number (158622750).

Almost surely, 25107078152 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 5107078152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613892000).

5107078152 is an abundant number, since it is smaller than the sum of its proper divisors (10120705848).

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

5107078152 is a wasteful number, since it uses less digits than its factorization.

5107078152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59291 (or 59284 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5107078152 is about 71463.8240790402. The cubic root of 5107078152 is about 1722.0965681336.

The spelling of 5107078152 in words is "five billion, one hundred seven million, seventy-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 109 132 198 218 264 327 396 436 654 792 872 981 1199 1308 1962 2398 2616 3597 3924 4796 7194 7848 9592 10791 14388 21582 28776 43164 59159 86328 118318 177477 236636 354954 473272 532431 650749 709908 1064862 1301498 1419816 1952247 2129724 2602996 3904494 4259448 5205992 5856741 6448331 7808988 11713482 12896662 15617976 19344993 23426964 25793324 38689986 46853928 51586648 58034979 70931641 77379972 116069958 141863282 154759944 212794923 232139916 283726564 425589846 464279832 567453128 638384769 851179692 1276769538 1702359384 2553539076 5107078152