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67401346680 = 233251731082231
BaseRepresentation
bin111110110001011011…
…101110111001111000
320102222022112011200100
4332301123232321320
52101014221043210
650544100435400
74604160664623
oct766133567170
9212868464610
1067401346680
11266483373a8
12110906a8b60
136481c56675
143395844dba
151b473e95c0
hexfb16eee78

67401346680 has 96 divisors (see below), whose sum is σ = 220320790560. Its totient is φ = 17869781760.

The previous prime is 67401346679. The next prime is 67401346741. The reversal of 67401346680 is 8664310476.

It is a happy number.

67401346680 is a `hidden beast` number, since 67 + 40 + 13 + 466 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 478836 + ... + 603395.

It is an arithmetic number, because the mean of its divisors is an integer number (2295008235).

Almost surely, 267401346680 is an apocalyptic number.

67401346680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67401346680 is an abundant number, since it is smaller than the sum of its proper divisors (152919443880).

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

67401346680 is a wasteful number, since it uses less digits than its factorization.

67401346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082421 (or 1082414 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 67401346680 in words is "sixty-seven billion, four hundred one million, three hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2076 2595 3114 3460 4152 5190 6228 6920 7785 10380 12456 15570 20760 31140 62280 1082231 2164462 3246693 4328924 5411155 6493386 8657848 9740079 10822310 12986772 16233465 19480158 21644620 25973544 32466930 38960316 43289240 48700395 64933860 77920632 97400790 129867720 187225963 194801580 374451926 389603160 561677889 748903852 936129815 1123355778 1497807704 1685033667 1872259630 2246711556 2808389445 3370067334 3744519260 4493423112 5616778890 6740134668 7489038520 8425168335 11233557780 13480269336 16850336670 22467115560 33700673340 67401346680