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46137360321 = 341343815157
BaseRepresentation
bin101010111110000000…
…000011111111000001
311102002101120202010000
4222332000003333001
51223442131012241
633110055430213
73222220043403
oct527600037701
9142071522100
1046137360321
1118626378758
128b37385369
134473743010
142339734b73
151300703eb6
hexabe003fc1

46137360321 has 20 divisors (see below), whose sum is σ = 74222877652. Its totient is φ = 28392221088.

The previous prime is 46137360287. The next prime is 46137360329. The reversal of 46137360321 is 12306373164.

46137360321 is a `hidden beast` number, since 4 + 613 + 7 + 3 + 6 + 0 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21444380721 + 24692979600 = 146439^2 + 157140^2 .

It is not a de Polignac number, because 46137360321 - 27 = 46137360193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46137360329) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 21906526 + ... + 21908631.

Almost surely, 246137360321 is an apocalyptic number.

It is an amenable number.

46137360321 is a deficient number, since it is larger than the sum of its proper divisors (28085517331).

46137360321 is a wasteful number, since it uses less digits than its factorization.

46137360321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43815182 (or 43815173 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 46137360321 in words is "forty-six billion, one hundred thirty-seven million, three hundred sixty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 43815157 131445471 394336413 569597041 1183009239 1708791123 3549027717 5126373369 15379120107 46137360321