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46886468864 = 281011813369
BaseRepresentation
bin101011101010101001…
…101011110100000000
311111000121011101211212
4223222221223310000
51232010414000424
633312255425252
73246614260334
oct535251536400
9144017141755
1046886468864
111898020a024
129106225228
1345629b7b01
1423ab0137c4
15134637710e
hexaeaa6bd00

46886468864 has 36 divisors (see below), whose sum is σ = 94516471140. Its totient is φ = 23211110400.

The previous prime is 46886468819. The next prime is 46886468879.

46886468864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 20575033600 + 26311435264 = 143440^2 + 162208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46886468794 and 46886468803.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 880829 + ... + 932540.

Almost surely, 246886468864 is an apocalyptic number.

It is an amenable number.

46886468864 is an abundant number, since it is smaller than the sum of its proper divisors (47630002276).

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

46886468864 is a wasteful number, since it uses less digits than its factorization.

46886468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813486 (or 1813472 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 68.

The spelling of 46886468864 in words is "forty-six billion, eight hundred eighty-six million, four hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 25856 1813369 3626738 7253476 14506952 29013904 58027808 116055616 183150269 232111232 366300538 464222464 732601076 1465202152 2930404304 5860808608 11721617216 23443234432 46886468864