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83168826356 = 227112922074219
BaseRepresentation
bin100110101110100111…
…1111001001111110100
321221200011211010120002
41031131033321033310
52330312204420411
6102112432330432
76003000234260
oct1153517711764
9257604733502
1083168826356
11322a96a8240
12141510a3a18
137ac57aa3b5
14404d96b0a0
15226b7b033b
hex135d3f93f4

83168826356 has 96 divisors (see below), whose sum is σ = 187846041600. Its totient is φ = 31264490880.

The previous prime is 83168826313. The next prime is 83168826371. The reversal of 83168826356 is 65362886138.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19710815 + ... + 19715033.

It is an arithmetic number, because the mean of its divisors is an integer number (1956729600).

Almost surely, 283168826356 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 83168826356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93923020800).

83168826356 is an abundant number, since it is smaller than the sum of its proper divisors (104677215244).

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

83168826356 is a wasteful number, since it uses less digits than its factorization.

83168826356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6475 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

It can be divided in two parts, 8316882 and 6356, that added together give a palindrome (8323238).

The spelling of 83168826356 in words is "eighty-three billion, one hundred sixty-eight million, eight hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2207 2233 4219 4414 4466 8438 8828 8932 15449 16876 24277 29533 30898 46409 48554 59066 61796 64003 92818 97108 118132 122351 128006 169939 185636 244702 256012 324863 339878 448021 489404 649726 679756 704033 856457 896042 1299452 1345861 1408066 1712914 1792084 2691722 2816132 3425828 4928231 5383444 9311333 9421027 9856462 18622666 18842054 19712924 37245332 37684108 65179331 102424663 130358662 204849326 260717324 270028657 409698652 540057314 716972641 1080114628 1433945282 1890200599 2867890564 2970315227 3780401198 5940630454 7560802396 11881260908 20792206589 41584413178 83168826356