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46101605031 = 3341198720959
BaseRepresentation
bin101010111011110111…
…101010101010100111
311101222220022012002000
4222323313222222213
51223404002330111
633102341220343
73221304114516
oct527367525247
9141886265060
1046101605031
1118608177229
128b274016b3
134469204541
142334aa867d
1512ec4dec56
hexabbdeaaa7

46101605031 has 32 divisors (see below), whose sum is σ = 70003046400. Its totient is φ = 29968263360.

The previous prime is 46101605029. The next prime is 46101605041. The reversal of 46101605031 is 13050610164.

46101605031 is a `hidden beast` number, since 4 + 610 + 16 + 0 + 5 + 0 + 31 = 666.

It is not a de Polignac number, because 46101605031 - 21 = 46101605029 is a prime.

It is a super-2 number, since 2×461016050312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 46101604986 and 46101605004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46101605021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189130 + ... + 2210088.

It is an arithmetic number, because the mean of its divisors is an integer number (2187595200).

Almost surely, 246101605031 is an apocalyptic number.

46101605031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

46101605031 is a deficient number, since it is larger than the sum of its proper divisors (23901441369).

46101605031 is a wasteful number, since it uses less digits than its factorization.

46101605031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22996 (or 22990 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 46101605031 in words is "forty-six billion, one hundred one million, six hundred five thousand, thirty-one".

Divisors: 1 3 9 27 41 123 369 1107 1987 5961 17883 20959 53649 62877 81467 188631 244401 565893 733203 859319 2199609 2577957 7733871 23201613 41645533 124936599 374809797 1124429391 1707466853 5122400559 15367201677 46101605031