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83683621243112 = 231143157179786931
BaseRepresentation
bin10011000001110000011100…
…100001001000100011101000
3101222022002001110002122020112
4103001300130201020203220
541432033024014234422
6453551420323513452
723424641101063232
oct2301603441104350
9358262043078215
1083683621243112
112473402a622aa0
129476543528888
133790440761717
1416944477c9252
159a1c0a374ee2
hex4c1c1c8488e8

83683621243112 has 128 divisors (see below), whose sum is σ = 177252340953600. Its totient is φ = 36710473363200.

The previous prime is 83683621243111. The next prime is 83683621243147. The reversal of 83683621243112 is 21134212638638.

It is not an unprimeable number, because it can be changed into a prime (83683621243111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 105948287 + ... + 106735217.

It is an arithmetic number, because the mean of its divisors is an integer number (1384783913700).

Almost surely, 283683621243112 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 83683621243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88626170476800).

83683621243112 is an abundant number, since it is smaller than the sum of its proper divisors (93568719710488).

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

83683621243112 is a wasteful number, since it uses less digits than its factorization.

83683621243112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787327 (or 787323 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 50.

The spelling of 83683621243112 in words is "eighty-three trillion, six hundred eighty-three billion, six hundred twenty-one million, two hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 43 44 86 88 157 172 179 314 344 358 473 628 716 946 1256 1432 1727 1892 1969 3454 3784 3938 6751 6908 7697 7876 13502 13816 15394 15752 27004 28103 30788 54008 56206 61576 74261 84667 112412 148522 169334 224824 297044 309133 338668 594088 618266 677336 786931 1208429 1236532 1573862 2416858 2473064 3147724 4833716 6295448 8656241 9667432 13292719 17312482 26585438 33838033 34624964 53170876 67676066 69249928 106341752 123548167 135352132 140860649 247096334 270704264 281721298 372218363 494192668 563442596 744436726 988385336 1126885192 1359029837 1488873452 1549467139 2718059674 2977746904 3098934278 5312571181 5436119348 6057007907 6197868556 10625142362 10872238696 12114015814 12395737112 21250284724 22115121893 24228031628 42500569448 44230243786 48456063256 58438282991 66627086977 88460487572 116876565982 133254173954 176920975144 233753131964 243266340823 266508347908 467506263928 486532681646 533016695816 950950241399 973065363292 1901900482798 1946130726584 3803800965596 7607601931192 10460452655389 20920905310778 41841810621556 83683621243112