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46108480164 = 22361443142189
BaseRepresentation
bin101010111100010001…
…111001001010100100
311102000101020110222120
4222330101321022210
51223412232331124
633103144425540
73221416420605
oct527421711244
9142011213876
1046108480164
111861104265a
128b297782b0
13446a770976
142335977dac
1512ecdebd79
hexabc4792a4

46108480164 has 48 divisors (see below), whose sum is σ = 109597776960. Its totient is φ = 15083303040.

The previous prime is 46108480153. The next prime is 46108480169.

46108480164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46108480169) 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 15 ways as a sum of consecutive naturals, for example, 253182 + ... + 395370.

It is an arithmetic number, because the mean of its divisors is an integer number (2283287020).

Almost surely, 246108480164 is an apocalyptic number.

It is an amenable number.

46108480164 is an abundant number, since it is smaller than the sum of its proper divisors (63489296796).

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

46108480164 is a wasteful number, since it uses less digits than its factorization.

46108480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142700 (or 142698 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 46108480164 in words is "forty-six billion, one hundred eight million, four hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 443 732 886 1329 1772 2658 5316 27023 54046 81069 108092 142189 162138 284378 324276 426567 568756 853134 1706268 8673529 17347058 26020587 34694116 52041174 62989727 104082348 125979454 188969181 251958908 377938362 755876724 3842373347 7684746694 11527120041 15369493388 23054240082 46108480164