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464107377972 = 223713142176243
BaseRepresentation
bin1101100000011101111…
…01001001010100110100
31122100221102220121002010
412300032331021110310
530100442442043342
6553112531444220
745350004423420
oct6601675112464
91570842817063
10464107377972
11169910574307
1275b44756670
13349c40149a4
141866a35bb80
15c114a3229c
hex6c0ef49534

464107377972 has 48 divisors (see below), whose sum is σ = 1247067182592. Its totient is φ = 131589875040.

The previous prime is 464107377959. The next prime is 464107377989. The reversal of 464107377972 is 279773701464.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21077118 + ... + 21099125.

It is an arithmetic number, because the mean of its divisors is an integer number (25980566304).

Almost surely, 2464107377972 is an apocalyptic number.

464107377972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

464107377972 is an abundant number, since it is smaller than the sum of its proper divisors (782959804620).

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

464107377972 is a wasteful number, since it uses less digits than its factorization.

464107377972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42176388 (or 42176386 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 464107377972 in words is "four hundred sixty-four billion, one hundred seven million, three hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 11004 42176243 84352486 126528729 168704972 253057458 295233701 506114916 590467402 885701103 1180934804 1771402206 3542804412 5525087833 11050175666 16575263499 22100351332 33150526998 38675614831 66301053996 77351229662 116026844493 154702459324 232053688986 464107377972