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78368380833672 = 23323743684129311
BaseRepresentation
bin10001110100011010001111…
…100000000100111110001000
3101021110221111012112110122100
4101310122033200010332020
540232441420443134142
6434401534231153400
722335633351050016
oct2164321740047610
9337427435473570
1078368380833672
1122a74930a15036
128958398215860
13349615028a507
14154d09abb98b6
1590d81c4e2b4c
hex47468f804f88

78368380833672 has 96 divisors (see below), whose sum is σ = 223053520884480. Its totient is φ = 24825684401280.

The previous prime is 78368380833571. The next prime is 78368380833737. The reversal of 78368380833672 is 27633808386387.

78368380833672 is a `hidden beast` number, since 7 + 8 + 36 + 83 + 80 + 83 + 367 + 2 = 666.

It is a super-2 number, since 2×783683808336722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78368380833672.

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, 341950104 + ... + 342179207.

It is an arithmetic number, because the mean of its divisors is an integer number (2323474175880).

Almost surely, 278368380833672 is an apocalyptic number.

78368380833672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78368380833672 is an abundant number, since it is smaller than the sum of its proper divisors (144685140050808).

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

78368380833672 is a wasteful number, since it uses less digits than its factorization.

78368380833672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684129403 (or 684129396 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 78368380833672 in words is "seventy-eight trillion, three hundred sixty-eight billion, three hundred eighty million, eight hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 43 72 74 86 111 129 148 172 222 258 296 333 344 387 444 516 666 774 888 1032 1332 1548 1591 2664 3096 3182 4773 6364 9546 12728 14319 19092 28638 38184 57276 114552 684129311 1368258622 2052387933 2736517244 4104775866 5473034488 6157163799 8209551732 12314327598 16419103464 24628655196 25312784507 29417560373 49257310392 50625569014 58835120746 75938353521 88252681119 101251138028 117670241492 151876707042 176505362238 202502276056 227815060563 235340482984 264758043357 303753414084 353010724476 455630121126 529516086714 607506828168 706021448952 911260242252 1059032173428 1088449733801 1822520484504 2118064346856 2176899467602 3265349201403 4353798935204 6530698402806 8707597870408 9796047604209 13061396805612 19592095208418 26122793611224 39184190416836 78368380833672