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46661414646 = 2371129181703
BaseRepresentation
bin101011011101001111…
…001010111011110110
311110102220200110111110
4223131033022323312
51231030310232041
633234100015450
73241212323520
oct533517127366
9143386613443
1046661414646
1118875174500
129062991586
13452819aa32
14238918ca10
15133171e516
hexadd3caef6

46661414646 has 48 divisors (see below), whose sum is σ = 117231996672. Its totient is φ = 12119846640.

The previous prime is 46661414623. The next prime is 46661414687. The reversal of 46661414646 is 64641416664.

It is a junction number, because it is equal to n+sod(n) for n = 46661414595 and 46661414604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4585770 + ... + 4595933.

It is an arithmetic number, because the mean of its divisors is an integer number (2442333264).

Almost surely, 246661414646 is an apocalyptic number.

46661414646 is an abundant number, since it is smaller than the sum of its proper divisors (70570582026).

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

46661414646 is a wasteful number, since it uses less digits than its factorization.

46661414646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181737 (or 9181726 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 46661414646 in words is "forty-six billion, six hundred sixty-one million, four hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 9181703 18363406 27545109 55090218 64271921 100998733 128543842 192815763 201997466 302996199 385631526 605992398 706991131 1110986063 1413982262 2120973393 2221972126 3332958189 4241946786 6665916378 7776902441 15553804882 23330707323 46661414646