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46311130601 = 1753142935969
BaseRepresentation
bin101011001000010110…
…111100010111101001
311102112111120012010022
4223020112330113221
51224321122134401
633135224130225
73226430054321
oct531026742751
9142474505108
1046311130601
111870547595a
128b85606975
1344a0745478
14235484a281
151310acb71b
hexac85bc5e9

46311130601 has 16 divisors (see below), whose sum is σ = 49996861200. Its totient is φ = 42733436928.

The previous prime is 46311130543. The next prime is 46311130627. The reversal of 46311130601 is 10603111364.

It can be written as a sum of positive squares in 8 ways, for example, as 3089136400 + 43221994201 = 55580^2 + 207899^2 .

It is a de Polignac number, because none of the positive numbers 2k-46311130601 is a prime.

It is a super-3 number, since 3×463111306013 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46311130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269545 + ... + 1305513.

It is an arithmetic number, because the mean of its divisors is an integer number (3124803825).

Almost surely, 246311130601 is an apocalyptic number.

It is an amenable number.

46311130601 is a deficient number, since it is larger than the sum of its proper divisors (3685730599).

46311130601 is a wasteful number, since it uses less digits than its factorization.

46311130601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37468.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 46311130601 its reverse (10603111364), we get a palindrome (56914241965).

The spelling of 46311130601 in words is "forty-six billion, three hundred eleven million, one hundred thirty thousand, six hundred one".

Divisors: 1 17 53 901 1429 24293 35969 75737 611473 1287529 1906357 32408069 51399701 873794917 2724184153 46311130601