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83875928112 = 24333710934801
BaseRepresentation
bin100111000011101100…
…1010001100000110000
322000111110100121211000
41032013121101200300
52333234214144422
6102310532122000
76026344424364
oct1160731214060
9260443317730
1083875928112
1132631858259
1214309a66300
137ba91350c2
1440b98332a4
1522ad8d6cac
hex1387651830

83875928112 has 160 divisors (see below), whose sum is σ = 247539642560. Its totient is φ = 27172454400.

The previous prime is 83875928053. The next prime is 83875928161. The reversal of 83875928112 is 21182957838.

83875928112 is a `hidden beast` number, since 8 + 38 + 7 + 592 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17468112 + ... + 17472912.

It is an arithmetic number, because the mean of its divisors is an integer number (1547122766).

Almost surely, 283875928112 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 83875928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123769821280).

83875928112 is an abundant number, since it is smaller than the sum of its proper divisors (163663714448).

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

83875928112 is a wasteful number, since it uses less digits than its factorization.

83875928112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5936 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 83875928112 in words is "eighty-three billion, eight hundred seventy-five million, nine hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1093 1332 1776 1998 2186 2664 3279 3996 4372 4801 5328 6558 7992 8744 9602 9837 13116 14403 15984 17488 19204 19674 26232 28806 29511 38408 39348 40441 43209 52464 57612 59022 76816 78696 80882 86418 115224 118044 121323 129627 157392 161764 172836 177637 230448 236088 242646 259254 323528 345672 355274 363969 472176 485292 518508 532911 647056 691344 710548 727938 970584 1037016 1065822 1091907 1421096 1455876 1598733 1941168 2074032 2131644 2183814 2842192 2911752 3197466 4263288 4367628 4796199 5247493 5823504 6394932 8526576 8735256 9592398 10494986 12789864 15742479 17470512 19184796 20989972 25579728 31484958 38369592 41979944 47227437 62969916 76739184 83959888 94454874 125939832 141682311 188909748 194157241 251879664 283364622 377819496 388314482 566729244 582471723 755638992 776628964 1133458488 1164943446 1553257928 1747415169 2266916976 2329886892 3106515856 3494830338 4659773784 5242245507 6989660676 9319547568 10484491014 13979321352 20968982028 27958642704 41937964056 83875928112