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5185086864 = 243614793697
BaseRepresentation
bin1001101010000111…
…00010010110010000
3111101100122201000020
410311003202112100
541104340234424
62214302223440
7242330340216
oct46503422620
914340581006
105185086864
112220934561
121008584b80
136482c3c49
143728c0cb6
15205317079
hex1350e2590

5185086864 has 80 divisors (see below), whose sum is σ = 13646507520. Its totient is φ = 1696020480.

The previous prime is 5185086839. The next prime is 5185086883. The reversal of 5185086864 is 4686805815.

It is a happy number.

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, 1400664 + ... + 1404360.

It is an arithmetic number, because the mean of its divisors is an integer number (170581344).

Almost surely, 25185086864 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 5185086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823253760).

5185086864 is an abundant number, since it is smaller than the sum of its proper divisors (8461420656).

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

5185086864 is a wasteful number, since it uses less digits than its factorization.

5185086864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 5185086864 is about 72007.5472711021. The cubic root of 5185086864 is about 1730.8204272394.

The spelling of 5185086864 in words is "five billion, one hundred eighty-five million, eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 479 488 732 958 976 1437 1464 1916 2874 2928 3697 3832 5748 7394 7664 11091 11496 14788 22182 22992 29219 29576 44364 58438 59152 87657 88728 116876 175314 177456 225517 233752 350628 451034 467504 676551 701256 902068 1353102 1402512 1770863 1804136 2706204 3541726 3608272 5312589 5412408 7083452 10625178 10824816 14166904 21250356 28333808 42500712 85001424 108022643 216045286 324067929 432090572 648135858 864181144 1296271716 1728362288 2592543432 5185086864