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38682255170064 = 24311233931321867
BaseRepresentation
bin10001100101110011010100…
…00101000001101000010000
312001221222122212112210120210
420302321222011001220100
520032232224310420224
6214134214355204120
711101462225564062
oct1062715205015020
9161858585483523
1038682255170064
1111364063665580
124408a68ba6640
13187794b0a276c
1497a334367732
15471333044429
hex232e6a141a10

38682255170064 has 80 divisors (see below), whose sum is σ = 109060238626560. Its totient is φ = 11716883633280.

The previous prime is 38682255169967. The next prime is 38682255170071. The reversal of 38682255170064 is 46007155228683.

It is a junction number, because it is equal to n+sod(n) for n = 38682255169986 and 38682255170013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14425942 + ... + 16895925.

It is an arithmetic number, because the mean of its divisors is an integer number (1363252982832).

Almost surely, 238682255170064 is an apocalyptic number.

It is an amenable number.

38682255170064 is an abundant number, since it is smaller than the sum of its proper divisors (70377983456496).

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

38682255170064 is a wasteful number, since it uses less digits than its factorization.

38682255170064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31324228 (or 31324222 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 38682255170064 in words is "thirty-eight trillion, six hundred eighty-two billion, two hundred fifty-five million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2339 4678 7017 9356 14034 18712 25729 28068 37424 51458 56136 77187 102916 112272 154374 205832 308748 411664 617496 1234992 31321867 62643734 93965601 125287468 187931202 250574936 344540537 375862404 501149872 689081074 751724808 1033621611 1378162148 1503449616 2067243222 2756324296 4134486444 5512648592 8268972888 16537945776 73261846913 146523693826 219785540739 293047387652 439571081478 586094775304 805880316043 879142162956 1172189550608 1611760632086 1758284325912 2417640948129 3223521264172 3516568651824 4835281896258 6447042528344 9670563792516 12894085056688 19341127585032 38682255170064