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78138330830736 = 243111749431761127
BaseRepresentation
bin10001110001000011111111…
…011100111101011110010000
3101020122221200121212110122020
4101301003333130331132100
540220204300143040421
6434104130441211440
722313210452225011
oct2161037734753620
9336587617773566
1078138330830736
1122996309767970
12891b894a90b80
13347a54a419717
141541cb5b95008
15907855d68dc6
hex4710ff73d790

78138330830736 has 160 divisors (see below), whose sum is σ = 233208738828288. Its totient is φ = 22280920811520.

The previous prime is 78138330830723. The next prime is 78138330830737. The reversal of 78138330830736 is 63703803383187.

It is a super-3 number, since 3×781383308307363 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78138330830736.

It is not an unprimeable number, because it can be changed into a prime (78138330830737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43487805 + ... + 45248931.

Almost surely, 278138330830736 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 78138330830736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116604369414144).

78138330830736 is an abundant number, since it is smaller than the sum of its proper divisors (155070407997552).

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

78138330830736 is a wasteful number, since it uses less digits than its factorization.

78138330830736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766109 (or 1766103 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 78138330830736 in words is "seventy-eight trillion, one hundred thirty-eight billion, three hundred thirty million, eight hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 4943 8976 9886 14829 19772 29658 39544 54373 59316 79088 84031 108746 118632 163119 168062 217492 237264 252093 326238 336124 434984 504186 652476 672248 869968 924341 1008372 1304952 1344496 1761127 1848682 2016744 2609904 2773023 3522254 3697364 4033488 5283381 5546046 7044508 7394728 10566762 11092092 14089016 14789456 19372397 21133524 22184184 28178032 29939159 38744794 42267048 44368368 58117191 59878318 77489588 84534096 89817477 116234382 119756636 154979176 179634954 232468764 239513272 309958352 329330749 359269908 464937528 479026544 658661498 718539816 929875056 987992247 1317322996 1437079632 1975984494 2634645992 3951968988 5269291984 7903937976 8705250761 15807875952 17410501522 26115752283 34821003044 52231504566 69642006088 95757758371 104463009132 139284012176 147989262937 191515516742 208926018264 287273275113 295978525874 383031033484 417852036528 443967788811 574546550226 591957051748 766062066968 887935577622 1149093100452 1183914103496 1532124133936 1627881892307 1775871155244 2298186200904 2367828206992 3255763784614 3551742310488 4596372401808 4883645676921 6511527569228 7103484620976 9767291353842 13023055138456 19534582707684 26046110276912 39069165415368 78138330830736