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83437884904 = 23114322996289
BaseRepresentation
bin100110110110101001…
…0010001010111101000
321222100221002201111111
41031231102101113220
52331340044304104
6102155243240104
76012445214443
oct1155522212750
9258327081444
1083437884904
1132427568980
1214207219034
137b3946383a
1440775a865a
15228520b404
hex136d4915e8

83437884904 has 64 divisors (see below), whose sum is σ = 175401864000. Its totient is φ = 36882155520.

The previous prime is 83437884899. The next prime is 83437884917. The reversal of 83437884904 is 40948873438.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818392 + ... + 914680.

It is an arithmetic number, because the mean of its divisors is an integer number (2740654125).

Almost surely, 283437884904 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 83437884904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87700932000).

83437884904 is an abundant number, since it is smaller than the sum of its proper divisors (91963979096).

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

83437884904 is a wasteful number, since it uses less digits than its factorization.

83437884904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96578 (or 96574 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 83437884904 in words is "eighty-three billion, four hundred thirty-seven million, eight hundred eighty-four thousand, nine hundred four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 229 344 458 473 916 946 1832 1892 2519 3784 5038 9847 10076 19694 20152 39388 78776 96289 108317 192578 216634 385156 433268 770312 866536 1059179 2118358 4140427 4236716 8280854 8473432 16561708 22050181 33123416 44100362 45544697 88200724 91089394 176401448 182178788 242551991 364357576 485103982 948157783 970207964 1896315566 1940415928 3792631132 7585262264 10429735613 20859471226 41718942452 83437884904