Search a number
-
+
10446516036 = 22321140964499
BaseRepresentation
bin10011011101010100…
…10010111101000100
3222222000221222222100
421232222102331010
5132343302003121
64444333032100
7516605630655
oct115652227504
928860858870
1010446516036
114480871130
122036625630
13ca6367448
1471159552c
154121ae026
hex26ea92f44

10446516036 has 72 divisors (see below), whose sum is σ = 28877940000. Its totient is φ = 3157822080.

The previous prime is 10446516029. The next prime is 10446516061. The reversal of 10446516036 is 63061564401.

It is a happy number.

10446516036 is a `hidden beast` number, since 1 + 0 + 4 + 46 + 5 + 1 + 603 + 6 = 666.

10446516036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129715 + ... + 194213.

It is an arithmetic number, because the mean of its divisors is an integer number (401082500).

Almost surely, 210446516036 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 10446516036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438970000).

10446516036 is an abundant number, since it is smaller than the sum of its proper divisors (18431423964).

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

10446516036 is a wasteful number, since it uses less digits than its factorization.

10446516036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64929 (or 64924 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10446516036 in words is "ten billion, four hundred forty-six million, five hundred sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 409 818 1227 1636 2454 3681 4499 4908 7362 8998 13497 14724 17996 26994 40491 53988 64499 80982 128998 161964 193497 257996 386994 580491 709489 773988 1160982 1418978 2128467 2321964 2837956 4256934 6385401 8513868 12770802 25541604 26380091 52760182 79140273 105520364 158280546 237420819 290181001 316561092 474841638 580362002 870543003 949683276 1160724004 1741086006 2611629009 3482172012 5223258018 10446516036