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45664166320 = 2453533161563
BaseRepresentation
bin101010100001110010…
…111110000110110000
311100212102011222222021
4222201302332012300
51222010011310240
632551113321224
73204413003143
oct524162760660
9140772158867
1045664166320
1118403260033
128a24a06214
1343c96b5176
1422d295a05a
1512c3dd354a
hexaa1cbe1b0

45664166320 has 40 divisors (see below), whose sum is σ = 106199894736. Its totient is φ = 18260383488.

The previous prime is 45664166311. The next prime is 45664166323. The reversal of 45664166320 is 2366146654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45664166323) 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, 201859 + ... + 363421.

Almost surely, 245664166320 is an apocalyptic number.

45664166320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45664166320 is an abundant number, since it is smaller than the sum of its proper divisors (60535728416).

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

45664166320 is a wasteful number, since it uses less digits than its factorization.

45664166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165109 (or 165103 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 45664166320 in words is "forty-five billion, six hundred sixty-four million, one hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3533 7066 14132 17665 28264 35330 56528 70660 141320 161563 282640 323126 646252 807815 1292504 1615630 2585008 3231260 6462520 12925040 570802079 1141604158 2283208316 2854010395 4566416632 5708020790 9132833264 11416041580 22832083160 45664166320