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46664846664 = 2333752550503
BaseRepresentation
bin101011011101011100…
…010000110101001000
311110110011010211100020
4223131130100311020
51231032200043124
633234301340440
73241253436432
oct533534206510
9143404124306
1046664846664
11188770a8a87
129063b67720
134528accc07
142389803652
151331b9b379
hexadd710d48

46664846664 has 32 divisors (see below), whose sum is σ = 119815149120. Its totient is φ = 15134544576.

The previous prime is 46664846663. The next prime is 46664846719.

46664846664 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46664846598 and 46664846607.

It is not an unprimeable number, because it can be changed into a prime (46664846663) 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, 26274364 + ... + 26276139.

It is an arithmetic number, because the mean of its divisors is an integer number (3744223410).

Almost surely, 246664846664 is an apocalyptic number.

It is an amenable number.

46664846664 is an abundant number, since it is smaller than the sum of its proper divisors (73150302456).

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

46664846664 is a wasteful number, since it uses less digits than its factorization.

46664846664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52550549 (or 52550545 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 60.

The spelling of 46664846664 in words is "forty-six billion, six hundred sixty-four million, eight hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 52550503 105101006 157651509 210202012 315303018 420404024 630606036 1261212072 1944368611 3888737222 5833105833 7777474444 11666211666 15554948888 23332423332 46664846664