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46640004664 = 2311253909091
BaseRepresentation
bin101011011011111101…
…011111111000111000
311110101102101201112011
4223123331133320320
51231004320122124
633232013055304
73240532332661
oct533375377070
9143342351464
1046640004664
1118864080900
129057787534
1345239128c6
1423863b8368
15132e8e0994
hexadbf5fe38

46640004664 has 48 divisors (see below), whose sum is σ = 97936481160. Its totient is φ = 20799979200.

The previous prime is 46640004571. The next prime is 46640004689.

It is a happy number.

46640004664 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403242 + ... + 505849.

Almost surely, 246640004664 is an apocalyptic number.

46640004664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46640004664 is an abundant number, since it is smaller than the sum of its proper divisors (51296476496).

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

46640004664 is a wasteful number, since it uses less digits than its factorization.

46640004664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909172 (or 909157 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 4664000 and 4664, that added together give a palindrome (4668664).

The spelling of 46640004664 in words is "forty-six billion, six hundred forty million, four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 4664 6413 12826 25652 51304 909091 1818182 3636364 7272728 10000001 20000002 40000004 48181823 80000008 96363646 110000011 192727292 220000022 385454584 440000044 530000053 880000088 1060000106 2120000212 4240000424 5830000583 11660001166 23320002332 46640004664