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3861927620082 = 23271713671318913
BaseRepresentation
bin111000001100101100110…
…100101110110111110010
3111200012022101011001211100
4320030230310232313302
51001233211432320312
612114051155425230
7546005111100330
oct70145464566762
914605271131740
103861927620082
11125991a508a84
125245738b5216
132202416bac4c
14d4cbdb28b50
156a6ce6005dc
hex3832cd2edf2

3861927620082 has 96 divisors (see below), whose sum is σ = 10132804760832. Its totient is φ = 1037741064192.

The previous prime is 3861927620081. The next prime is 3861927620129. The reversal of 3861927620082 is 2800267291683.

3861927620082 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 9 + 2 + 7 + 620 + 0 + 8 + 2 = 666.

It is a super-4 number, since 4×38619276200824 (a number of 51 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3861927620081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2268658 + ... + 3587570.

It is an arithmetic number, because the mean of its divisors is an integer number (105550049592).

Almost surely, 23861927620082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3861927620082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066402380416).

3861927620082 is an abundant number, since it is smaller than the sum of its proper divisors (6270877140750).

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

3861927620082 is a wasteful number, since it uses less digits than its factorization.

3861927620082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320312 (or 1320309 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3861927620082 in words is "three trillion, eight hundred sixty-one billion, nine hundred twenty-seven million, six hundred twenty thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1367 2142 2734 4101 8202 9569 12303 19138 23239 24606 28707 46478 57414 69717 86121 139434 162673 172242 209151 325346 418302 488019 976038 1318913 1464057 2637826 2928114 3956739 7913478 9232391 11870217 18464782 22421521 23740434 27697173 44843042 55394346 67264563 83091519 134529126 156950647 166183038 201793689 313901294 403587378 470851941 941703882 1412555823 1802954071 2825111646 3605908142 5408862213 10817724426 12620678497 16226586639 25241356994 30650219207 32453173278 37862035491 61300438414 75724070982 91950657621 113586106473 183901315242 214551534449 227172212946 275851972863 429103068898 551703945726 643654603347 1287309206694 1930963810041 3861927620082