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46504730664 = 233372171311973
BaseRepresentation
bin101011010011111001…
…011110000000101000
311110000222212002111000
4223103321132000220
51230220202340124
633210341435000
73234300455100
oct532371360050
9143028762430
1046504730664
11187a4787507
12901a40ba60
13450189b712
142372444200
151322abe6c9
hexad3e5e028

46504730664 has 384 divisors, whose sum is σ = 160405660800. Its totient is φ = 12403722240.

The previous prime is 46504730641. The next prime is 46504730677. The reversal of 46504730664 is 46603740564.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 23569582 + ... + 23571554.

It is an arithmetic number, because the mean of its divisors is an integer number (417723075).

Almost surely, 246504730664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46504730664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80202830400).

46504730664 is an abundant number, since it is smaller than the sum of its proper divisors (113900930136).

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

46504730664 is a wasteful number, since it uses less digits than its factorization.

46504730664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 46504730664 in words is "forty-six billion, five hundred four million, seven hundred thirty thousand, six hundred sixty-four".