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5106675464 = 2311238928349
BaseRepresentation
bin1001100000110000…
…11010111100001000
3111011220002222210022
410300120122330020
540424302103324
62202421440012
7240356011442
oct46030327410
914156088708
105106675464
112190648950
12ba6270008
13634c9b977
1436630d492
151ed4c905e
hex13061af08

5106675464 has 64 divisors (see below), whose sum is σ = 11022480000. Its totient is φ = 2195269120.

The previous prime is 5106675389. The next prime is 5106675481. The reversal of 5106675464 is 4645766015.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 165962 + ... + 194310.

It is an arithmetic number, because the mean of its divisors is an integer number (172226250).

Almost surely, 25106675464 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 5106675464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511240000).

5106675464 is an abundant number, since it is smaller than the sum of its proper divisors (5915804536).

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

5106675464 is a wasteful number, since it uses less digits than its factorization.

5106675464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28478 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 5106675464 is about 71461.0065980042. The cubic root of 5106675464 is about 1722.0513050804.

The spelling of 5106675464 in words is "five billion, one hundred six million, six hundred seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 89 92 178 184 253 356 506 712 979 1012 1958 2024 2047 3916 4094 7832 8188 16376 22517 28349 45034 56698 90068 113396 180136 226792 311839 623678 652027 1247356 1304054 2494712 2523061 2608108 5046122 5216216 7172297 10092244 14344594 20184488 27753671 28689188 55507342 57378376 58030403 111014684 116060806 222029368 232121612 464243224 638334433 1276668866 2553337732 5106675464