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68739768993024 = 283323994145473
BaseRepresentation
bin11111010000100101110011…
…00000110100010100000000
3100000101110100200122111002000
433220102321200310110000
533002213021330234044
6402110340335224000
720323166361563403
oct1750227140642400
9300343320574060
1068739768993024
111a9a2410611018
127862289678000
132c48194b6c3cc
1412d9045d13d3a
157e312c175d69
hex3e84b9834500

68739768993024 has 144 divisors (see below), whose sum is σ = 203360372544000. Its totient is φ = 22903699636224.

The previous prime is 68739768992977. The next prime is 68739768993037. The reversal of 68739768993024 is 42039986793786.

68739768993024 is a `hidden beast` number, since 6 + 87 + 3 + 97 + 68 + 99 + 302 + 4 = 666.

It is a Cunningham number, because it is equal to 82909452-1.

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, 14509152 + ... + 18654624.

Almost surely, 268739768993024 is an apocalyptic number.

68739768993024 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 68739768993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101680186272000).

68739768993024 is an abundant number, since it is smaller than the sum of its proper divisors (134620603550976).

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

68739768993024 is a wasteful number, since it uses less digits than its factorization.

68739768993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147897 (or 4147877 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 81.

The spelling of 68739768993024 in words is "sixty-eight trillion, seven hundred thirty-nine billion, seven hundred sixty-eight million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2399 3456 4798 6912 7197 9596 14394 19192 21591 28788 38384 43182 57576 64773 76768 86364 115152 129546 153536 172728 230304 259092 307072 345456 460608 518184 614144 690912 921216 1036368 1381824 1842432 2072736 2763648 4145472 4145473 5527296 8290944 8290946 12436419 16581888 16581892 24872838 33163784 37309257 49745676 66327568 74618514 99491352 111927771 132655136 149237028 198982704 223855542 265310272 298474056 397965408 447711084 530620544 596948112 795930816 895422168 1061241088 1193896224 1591861632 1790844336 2387792448 3183723264 3581688672 4775584896 7163377344 9551169792 9944989727 14326754688 19889979454 28653509376 29834969181 39779958908 59669938362 79559917816 89504907543 119339876724 159119835632 179009815086 238679753448 268514722629 318239671264 358019630172 477359506896 537029445258 636479342528 716039260344 954719013792 1074058890516 1272958685056 1432078520688 1909438027584 2148117781032 2545917370112 2864157041376 3818876055168 4296235562064 5728314082752 7637752110336 8592471124128 11456628165504 17184942248256 22913256331008 34369884496512 68739768993024