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38166793166096 = 2474310972706409
BaseRepresentation
bin10001010110110011001100…
…01001100001110100010000
312000010201011102211220100122
420223121212021201310100
520000311043022303341
6213101325511405412
711016313500051560
oct1053314611416420
9160121142756318
1038166793166096
111118549a810701
124344b91983868
13183b16179821a
1495d3d5818da0
15462c14c8b94b
hex22b666261d10

38166793166096 has 80 divisors (see below), whose sum is σ = 87270958051200. Its totient is φ = 15830220801024.

The previous prime is 38166793166083. The next prime is 38166793166179. The reversal of 38166793166096 is 69066139766183.

It is a super-3 number, since 3×381667931660963 (a number of 42 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 35828261 + ... + 36878148.

It is an arithmetic number, because the mean of its divisors is an integer number (1090886975640).

Almost surely, 238166793166096 is an apocalyptic number.

It is an amenable number.

38166793166096 is an abundant number, since it is smaller than the sum of its proper divisors (49104164885104).

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

38166793166096 is a wasteful number, since it uses less digits than its factorization.

38166793166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72706576 (or 72706570 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 71.

The spelling of 38166793166096 in words is "thirty-eight trillion, one hundred sixty-six billion, seven hundred ninety-three million, one hundred sixty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 109 112 172 218 301 344 436 602 688 763 872 1204 1526 1744 2408 3052 4687 4816 6104 9374 12208 18748 32809 37496 65618 74992 131236 262472 524944 72706409 145412818 290825636 508944863 581651272 1017889726 1163302544 2035779452 3126375587 4071558904 6252751174 7924998581 8143117808 12505502348 15849997162 21884629109 25011004696 31699994324 43769258218 50022009392 55474990067 63399988648 87538516436 110949980134 126799977296 175077032872 221899960268 340774938983 350154065744 443799920536 681549877966 887599841072 1363099755932 2385424572881 2726199511864 4770849145762 5452399023728 9541698291524 19083396583048 38166793166096