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68379565824 = 283355717761
BaseRepresentation
bin111111101011101111…
…010101111100000000
320112111111012212002000
4333223233111330000
52110020132101244
651225123224000
74640336501523
oct775357257400
9215444185060
1068379565824
1126aaa533979
1211304218000
1365a980896b
143449722bba
151ba3227169
hexfebbd5f00

68379565824 has 144 divisors (see below), whose sum is σ = 202584846240. Its totient is φ = 22750986240.

The previous prime is 68379565819. The next prime is 68379565831. The reversal of 68379565824 is 42856597386.

It is a happy number.

68379565824 is a `hidden beast` number, since 68 + 3 + 7 + 9 + 565 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3841104 + ... + 3858864.

It is an arithmetic number, because the mean of its divisors is an integer number (1406839210).

Almost surely, 268379565824 is an apocalyptic number.

68379565824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68379565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101292423120).

68379565824 is an abundant number, since it is smaller than the sum of its proper divisors (134205280416).

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

68379565824 is a wasteful number, since it uses less digits than its factorization.

68379565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18343 (or 18323 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 68379565824 in words is "sixty-eight billion, three hundred seventy-nine million, five hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 557 576 768 864 1114 1152 1671 1728 2228 2304 3342 3456 4456 5013 6684 6912 8912 10026 13368 15039 17761 17824 20052 26736 30078 35522 35648 40104 53283 53472 60156 71044 71296 80208 106566 106944 120312 142088 142592 159849 160416 213132 213888 240624 284176 319698 320832 426264 427776 479547 481248 568352 639396 641664 852528 959094 962496 1136704 1278792 1283328 1705056 1918188 1924992 2273408 2557584 3410112 3836376 3849984 4546816 5115168 6820224 7672752 9892877 10230336 13640448 15345504 19785754 20460672 29678631 30691008 39571508 40921344 59357262 61382016 79143016 89035893 118714524 122764032 158286032 178071786 237429048 267107679 316572064 356143572 474858096 534215358 633144128 712287144 949716192 1068430716 1266288256 1424574288 1899432384 2136861432 2532576512 2849148576 3798864768 4273722864 5698297152 7597729536 8547445728 11396594304 17094891456 22793188608 34189782912 68379565824