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76999221613116 = 22341141595194691
BaseRepresentation
bin10001100000011111000111…
…010000001001001000111100
3101002122001110010220121010000
4101200133013100021020330
540043023401213104431
6431432542025314300
722135003330514565
oct2140370720111074
9332561403817100
1076999221613116
1122597206264920
128776b6b635990
1333c6cc2ca8b7a
141502ad455b16c
158d7dd6bdb9e6
hex4607c740923c

76999221613116 has 120 divisors (see below), whose sum is σ = 219643213870080. Its totient is φ = 23327482701600.

The previous prime is 76999221613087. The next prime is 76999221613129. The reversal of 76999221613116 is 61131612299967.

76999221613116 is a `hidden beast` number, since 7 + 6 + 9 + 9 + 9 + 2 + 2 + 1 + 613 + 1 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12225331 + ... + 17420021.

It is an arithmetic number, because the mean of its divisors is an integer number (1830360115584).

Almost surely, 276999221613116 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 76999221613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109821606935040).

76999221613116 is an abundant number, since it is smaller than the sum of its proper divisors (142643992256964).

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

76999221613116 is a wasteful number, since it uses less digits than its factorization.

76999221613116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198877 (or 5198866 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 76999221613116 in words is "seventy-six trillion, nine hundred ninety-nine billion, two hundred twenty-one million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 4159 8318 12477 16636 24954 37431 45749 49908 74862 91498 112293 137247 149724 182996 224586 274494 336879 411741 449172 548988 673758 823482 1235223 1347516 1646964 2470446 3705669 4940892 5194691 7411338 10389382 14822676 15584073 20778764 31168146 46752219 57141601 62336292 93504438 114283202 140256657 171424803 187008876 228566404 280513314 342849606 420769971 514274409 561026628 685699212 841539942 1028548818 1542823227 1683079884 2057097636 3085646454 4628469681 6171292908 9256939362 18513878724 21604719869 43209439738 64814159607 86418879476 129628319214 194442478821 237651918559 259256638428 388884957642 475303837118 583327436463 712955755677 777769915284 950607674236 1166654872926 1425911511354 1749982309389 2138867267031 2333309745852 2851823022708 3499964618778 4277734534062 6416601801093 6999929237556 8555469068124 12833203602186 19249805403279 25666407204372 38499610806558 76999221613116