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46121412164 = 2261727260003
BaseRepresentation
bin101010111101000011…
…001110011001000100
311102001021120111100112
4222331003032121010
51223424040142124
633104325532152
73221634351332
oct527503163104
9142037514315
1046121412164
1118618375663
128b31b74058
13447034ac39
142337582b52
1512ee10390e
hexabd0ce644

46121412164 has 24 divisors (see below), whose sum is σ = 82148783808. Its totient is φ = 22651374240.

The previous prime is 46121412163. The next prime is 46121412173.

46121412164 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 46121412164.

It is not an unprimeable number, because it can be changed into a prime (46121412163) 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 7 ways as a sum of consecutive naturals, for example, 47387 + ... + 307389.

It is an arithmetic number, because the mean of its divisors is an integer number (3422865992).

Almost surely, 246121412164 is an apocalyptic number.

It is an amenable number.

46121412164 is a deficient number, since it is larger than the sum of its proper divisors (36027371644).

46121412164 is a wasteful number, since it uses less digits than its factorization.

46121412164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260795 (or 260793 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 46121412164 in words is "forty-six billion, one hundred twenty-one million, four hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 4 61 122 244 727 1454 2908 44347 88694 177388 260003 520006 1040012 15860183 31720366 63440732 189022181 378044362 756088724 11530353041 23060706082 46121412164