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76620207172464 = 2433177361590677
BaseRepresentation
bin10001011010111110001000…
…001110110010101101110000
3101001021211010222101002122000
4101122332020032302231300
540020321141014004324
6430542500502414000
722065425106105414
oct2132761016625560
9331254128332560
1076620207172464
11224604a15118aa
128715614431300
13339a340297787
1414cc61b50cd44
158cd10283b9c9
hex45af883b2b70

76620207172464 has 40 divisors (see below), whose sum is σ = 219928372440720. Its totient is φ = 25540069057344.

The previous prime is 76620207172427. The next prime is 76620207172547. The reversal of 76620207172464 is 46427170202667.

76620207172464 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 0 + 2 + 0 + 7 + 172 + 464 = 666.

It is a super-2 number, since 2×766202071724642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 76620207172464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88680794907 + ... + 88680795770.

It is an arithmetic number, because the mean of its divisors is an integer number (5498209311018).

Almost surely, 276620207172464 is an apocalyptic number.

It is an amenable number.

76620207172464 is an abundant number, since it is smaller than the sum of its proper divisors (143308165268256).

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

76620207172464 is a wasteful number, since it uses less digits than its factorization.

76620207172464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177361590694 (or 177361590682 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 76620207172464 in words is "seventy-six trillion, six hundred twenty billion, two hundred seven million, one hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 177361590677 354723181354 532084772031 709446362708 1064169544062 1418892725416 1596254316093 2128339088124 2837785450832 3192508632186 4256678176248 4788762948279 6385017264372 8513356352496 9577525896558 12770034528744 19155051793116 25540069057488 38310103586232 76620207172464