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46134516431052 = 22327571132056291
BaseRepresentation
bin10100111110101100001110…
…11101101011100011001100
320001100102020202212021111200
422133112013131223203030
522021331442201243202
6242041523153145500
712501052216255560
oct1237260735534314
9201312222767450
1046134516431052
11137775a188a0a5
12521121825b290
131c9860a40969a
14b56ccb5196a0
155500e829ee1c
hex29f58776b8cc

46134516431052 has 72 divisors (see below), whose sum is σ = 133300833050112. Its totient is φ = 13178981944800.

The previous prime is 46134516431039. The next prime is 46134516431083. The reversal of 46134516431052 is 25013461543164.

46134516431052 is a `hidden beast` number, since 4 + 6 + 1 + 34 + 516 + 43 + 10 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46134516430989 and 46134516431007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14588974 + ... + 17467317.

Almost surely, 246134516431052 is an apocalyptic number.

46134516431052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46134516431052 is an abundant number, since it is smaller than the sum of its proper divisors (87166316619060).

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

46134516431052 is a wasteful number, since it uses less digits than its factorization.

46134516431052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32062019 (or 32062014 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46134516431052 in words is "forty-six trillion, one hundred thirty-four billion, five hundred sixteen million, four hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5711 11422 17133 22844 34266 39977 51399 68532 79954 102798 119931 159908 205596 239862 359793 479724 719586 1439172 32056291 64112582 96168873 128225164 192337746 224394037 288506619 384675492 448788074 577013238 673182111 897576148 1154026476 1346364222 2019546333 2692728444 4039092666 8078185332 183073477901 366146955802 549220433703 732293911604 1098440867406 1281514345307 1647661301109 2196881734812 2563028690614 3295322602218 3844543035921 5126057381228 6590645204436 7689086071842 11533629107763 15378172143684 23067258215526 46134516431052