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168688375107336 = 23337229487189457
BaseRepresentation
bin100110010110101111010010…
…101011010000111100001000
3211010021110011220022010001000
4212112233102223100330020
5134102242243011413321
61354434211504455000
750350222122154350
oct4626572253207410
9733243156263030
10168688375107336
114982737a0621a7
1216b04b2b61a460
137318326527bb6
142d927bd235b60
151477e89a17826
hex996bd2ad0f08

168688375107336 has 128 divisors (see below), whose sum is σ = 537857161632000. Its totient is φ = 47986212658176.

The previous prime is 168688375107319. The next prime is 168688375107391. The reversal of 168688375107336 is 633701573886861.

168688375107336 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 8 + 8 + 3 + 7 + 510 + 73 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243248481 + ... + 243940976.

It is an arithmetic number, because the mean of its divisors is an integer number (4202009075250).

Almost surely, 2168688375107336 is an apocalyptic number.

It is an amenable number.

168688375107336 is an abundant number, since it is smaller than the sum of its proper divisors (369168786524664).

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

168688375107336 is a wasteful number, since it uses less digits than its factorization.

168688375107336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487189708 (or 487189698 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 168688375107336 in words is "one hundred sixty-eight trillion, six hundred eighty-eight billion, three hundred seventy-five million, one hundred seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 229 252 378 458 504 687 756 916 1374 1512 1603 1832 2061 2748 3206 4122 4809 5496 6183 6412 8244 9618 12366 12824 14427 16488 19236 24732 28854 38472 43281 49464 57708 86562 115416 173124 346248 487189457 974378914 1461568371 1948757828 2923136742 3410326199 3897515656 4384705113 5846273484 6820652398 8769410226 10230978597 11692546968 13154115339 13641304796 17538820452 20461957194 26308230678 27282609592 30692935791 35077640904 40923914388 52616461356 61385871582 81847828776 92078807373 105232922712 111566385653 122771743164 184157614746 223132771306 245543486328 334699156959 368315229492 446265542612 669398313918 736630458984 780964699571 892531085224 1004097470877 1338796627836 1561929399142 2008194941754 2342894098713 2677593255672 3012292412631 3123858798284 4016389883508 4685788197426 6024584825262 6247717596568 7028682296139 8032779767016 9371576394852 12049169650524 14057364592278 18743152789704 21086046888417 24098339301048 28114729184556 42172093776834 56229458369112 84344187553668 168688375107336