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67114846980 = 223253727100043
BaseRepresentation
bin111110100000010110…
…110100101100000100
320102020100102110222100
4332200112310230010
52044422400100410
650455424032100
74564111533546
oct764026645404
9212210373870
1067114846980
1126510643995
1211010762630
1364377a470c
143369787696
151b2c1a58c0
hexfa05b4b04

67114846980 has 72 divisors (see below), whose sum is σ = 203638361472. Its totient is φ = 17892311616.

The previous prime is 67114846963. The next prime is 67114846993. The reversal of 67114846980 is 8964841176.

67114846980 is a `hidden beast` number, since 6 + 71 + 1 + 484 + 6 + 98 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620839 + ... + 720881.

It is an arithmetic number, because the mean of its divisors is an integer number (2828310576).

Almost surely, 267114846980 is an apocalyptic number.

67114846980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67114846980 is an abundant number, since it is smaller than the sum of its proper divisors (136523514492).

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

67114846980 is a wasteful number, since it uses less digits than its factorization.

67114846980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103785 (or 103780 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 6711484 and 6980, that added together give a square (6718464 = 25922).

The spelling of 67114846980 in words is "sixty-seven billion, one hundred fourteen million, eight hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3727 7454 11181 14908 18635 22362 33543 37270 44724 55905 67086 74540 100043 111810 134172 167715 200086 223620 300129 335430 400172 500215 600258 670860 900387 1000430 1200516 1500645 1800774 2000860 3001290 3601548 4501935 6002580 9003870 18007740 372860261 745720522 1118580783 1491441044 1864301305 2237161566 3355742349 3728602610 4474323132 5592903915 6711484698 7457205220 11185807830 13422969396 16778711745 22371615660 33557423490 67114846980