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46163314116 = 223210120816101
BaseRepresentation
bin101010111111100011…
…000100010111000100
311102011012102100000200
4222333203010113010
51224020302022431
633112424010500
73222653460423
oct527743042704
9142135370020
1046163314116
1118639a95177
128b44000a30
134478c2c3aa
14233cd6d2ba
151302b2dee6
hexabf8c45c4

46163314116 has 72 divisors (see below), whose sum is σ = 117921906648. Its totient is φ = 15225600000.

The previous prime is 46163314111. The next prime is 46163314117. The reversal of 46163314116 is 61141336164.

46163314116 is a `hidden beast` number, since 4 + 6 + 1 + 633 + 1 + 4 + 1 + 16 = 666.

46163314116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18771740100 + 27391574016 = 137010^2 + 165504^2 .

It is a super-2 number, since 2×461633141162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46163314111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7563466 + ... + 7569566.

It is an arithmetic number, because the mean of its divisors is an integer number (1637804259).

Almost surely, 246163314116 is an apocalyptic number.

It is an amenable number.

46163314116 is an abundant number, since it is smaller than the sum of its proper divisors (71758592532).

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

46163314116 is a wasteful number, since it uses less digits than its factorization.

46163314116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8288 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 46163314116 in words is "forty-six billion, one hundred sixty-three million, three hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 2081 3636 4162 6101 6243 8324 12202 12486 18303 18729 24404 24972 36606 37458 54909 73212 74916 109818 210181 219636 420362 616201 630543 840724 1232402 1261086 1848603 1891629 2464804 2522172 3697206 3783258 5545809 7394412 7566516 11091618 12696181 22183236 25392362 38088543 50784724 76177086 114265629 152354172 228531258 457062516 1282314281 2564628562 3846942843 5129257124 7693885686 11540828529 15387771372 23081657058 46163314116