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86371839096 = 233237113116823
BaseRepresentation
bin101000001110000101…
…0011010110001111000
322020221101212001000120
41100130022122301320
52403342142322341
6103402332133240
76145242342654
oct1203412326170
9266841761016
1086371839096
11336a2719104
12148a5907220
1381b62622ca
1442750dba64
1523a7aa6066
hex141c29ac78

86371839096 has 128 divisors (see below), whose sum is σ = 230249226240. Its totient is φ = 26942115200.

The previous prime is 86371839049. The next prime is 86371839097. The reversal of 86371839096 is 69093817368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86371839097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5125741 + ... + 5142563.

It is an arithmetic number, because the mean of its divisors is an integer number (1798822080).

Almost surely, 286371839096 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 86371839096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115124613120).

86371839096 is an abundant number, since it is smaller than the sum of its proper divisors (143877387144).

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

86371839096 is a wasteful number, since it uses less digits than its factorization.

86371839096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17057 (or 17053 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 86371839096 in words is "eighty-six billion, three hundred seventy-one million, eight hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 131 138 142 184 213 262 276 284 393 426 524 552 568 786 852 1048 1572 1633 1704 3013 3144 3266 4899 6026 6532 9039 9301 9798 12052 13064 16823 18078 18602 19596 24104 27903 33646 36156 37204 39192 50469 55806 67292 72312 74408 100938 111612 134584 201876 213923 223224 386929 403752 427846 641769 773858 855692 1160787 1194433 1283538 1547716 1711384 2203813 2321574 2388866 2567076 3095432 3583299 4407626 4643148 4777732 5134152 6611439 7166598 8815252 9286296 9555464 13222878 14333196 17630504 26445756 27471959 28666392 50687699 52891512 54943918 82415877 101375398 109887836 152063097 156470723 164831754 202750796 219775672 304126194 312941446 329663508 405501592 469412169 608252388 625882892 659327016 938824338 1216504776 1251765784 1877648676 3598826629 3755297352 7197653258 10796479887 14395306516 21592959774 28790613032 43185919548 86371839096