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46629692664 = 2332017796293
BaseRepresentation
bin101011011011010110…
…001010010011111000
311110100200222211010020
4223123112022103320
51230444200131124
633231004050440
73240345563562
oct533326122370
9143320884106
1046629692664
1118859278295
129054233a20
134521742029
142384c92332
15132da55379
hexadb58a4f8

46629692664 has 32 divisors (see below), whose sum is σ = 116581219920. Its totient is φ = 15542299136.

The previous prime is 46629692663. The next prime is 46629692671.

46629692664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46629692598 and 46629692607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46629692663) 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 7 ways as a sum of consecutive naturals, for example, 436102 + ... + 532394.

Almost surely, 246629692664 is an apocalyptic number.

It is an amenable number.

46629692664 is an abundant number, since it is smaller than the sum of its proper divisors (69951527256).

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

46629692664 is a wasteful number, since it uses less digits than its factorization.

46629692664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116479 (or 116475 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 46629692664 in words is "forty-six billion, six hundred twenty-nine million, six hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 20177 40354 60531 80708 96293 121062 161416 192586 242124 288879 385172 484248 577758 770344 1155516 2311032 1942903861 3885807722 5828711583 7771615444 11657423166 15543230888 23314846332 46629692664