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78722118816 = 25311264728163
BaseRepresentation
bin100100101010000110…
…1000011010010100000
321112012021112222120020
41021110031003102200
52242210330300231
6100055304113440
75454543653325
oct1112415032240
9245167488506
1078722118816
1130427647030
121330ba65880
1375674727c3
143b4b174b4c
1520ab1ec396
hex12543434a0

78722118816 has 96 divisors (see below), whose sum is σ = 225524694528. Its totient is φ = 23845328640.

The previous prime is 78722118779. The next prime is 78722118877. The reversal of 78722118816 is 61881122787.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781151 + ... + 2809313.

It is an arithmetic number, because the mean of its divisors is an integer number (2349215568).

Almost surely, 278722118816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78722118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112762347264).

78722118816 is an abundant number, since it is smaller than the sum of its proper divisors (146802575712).

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

78722118816 is a wasteful number, since it uses less digits than its factorization.

78722118816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30834 (or 30826 counting only the distinct ones).

The product of its digits is 602112, while the sum is 51.

The spelling of 78722118816 in words is "seventy-eight billion, seven hundred twenty-two million, one hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2647 5294 7941 10588 15882 21176 28163 29117 31764 42352 56326 58234 63528 84489 84704 87351 112652 116468 127056 168978 174702 225304 232936 254112 309793 337956 349404 450608 465872 619586 675912 698808 901216 929379 931744 1239172 1351824 1397616 1858758 2478344 2703648 2795232 3717516 4956688 7435032 9913376 14870064 29740128 74547461 149094922 223642383 298189844 447284766 596379688 820022071 894569532 1192759376 1640044142 1789139064 2385518752 2460066213 3280088284 3578278128 4920132426 6560176568 7156556256 9840264852 13120353136 19680529704 26240706272 39361059408 78722118816