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78344390640 = 24351791823659
BaseRepresentation
bin100100011110110110…
…0001000011111110000
321111012221210101220210
41020331230020133300
52240422131000030
655554012104120
75442306222105
oct1107554103760
9244187711823
1078344390640
113025340328a
1213225465040
13750712b6c9
143b12d2aaac
152087e87bb0
hex123db087f0

78344390640 has 80 divisors (see below), whose sum is σ = 244224547200. Its totient is φ = 20775111936.

The previous prime is 78344390611. The next prime is 78344390681. The reversal of 78344390640 is 4609344387.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×783443906402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78344390640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868870 + ... + 954789.

It is an arithmetic number, because the mean of its divisors is an integer number (3052806840).

Almost surely, 278344390640 is an apocalyptic number.

It is an amenable number.

78344390640 is an abundant number, since it is smaller than the sum of its proper divisors (165880156560).

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

78344390640 is a wasteful number, since it uses less digits than its factorization.

78344390640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823854 (or 1823848 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 78344390640 in words is "seventy-eight billion, three hundred forty-four million, three hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 7160 8592 10740 14320 21480 42960 1823659 3647318 5470977 7294636 9118295 10941954 14589272 18236590 21883908 27354885 29178544 36473180 43767816 54709770 72946360 87535632 109419540 145892720 218839080 326434961 437678160 652869922 979304883 1305739844 1632174805 1958609766 2611479688 3264349610 3917219532 4896524415 5222959376 6528699220 7834439064 9793048830 13057398440 15668878128 19586097660 26114796880 39172195320 78344390640