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46752225764 = 222329105116673
BaseRepresentation
bin101011100010101001…
…100101100111100100
311110200020120010221012
4223202221211213210
51231222032211024
633251102241352
73243364235126
oct534251454744
9143606503835
1046752225764
111891145a212
129089286258
134540c44c1a
14239726b216
1513396ab50e
hexae2a659e4

46752225764 has 48 divisors (see below), whose sum is σ = 88406881920. Its totient is φ = 21566899200.

The previous prime is 46752225727. The next prime is 46752225769.

46752225764 is nontrivially palindromic in base 10.

46752225764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×467522257642 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46752225769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2795732 + ... + 2812404.

It is an arithmetic number, because the mean of its divisors is an integer number (1841810040).

Almost surely, 246752225764 is an apocalyptic number.

It is an amenable number.

46752225764 is a deficient number, since it is larger than the sum of its proper divisors (41654656156).

46752225764 is a wasteful number, since it uses less digits than its factorization.

46752225764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17778 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 50.

The spelling of 46752225764 in words is "forty-six billion, seven hundred fifty-two million, two hundred twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 23 29 46 58 92 116 667 1051 1334 2102 2668 4204 16673 24173 30479 33346 48346 60958 66692 96692 121916 383479 483517 701017 766958 967034 1402034 1533916 1934068 2804068 11120891 17523323 22241782 35046646 44483564 70093292 403036429 508176367 806072858 1016352734 1612145716 2032705468 11688056441 23376112882 46752225764