Search a number
-
+
83122871688 = 23325928336907
BaseRepresentation
bin100110101101010000…
…0100101110110001000
321221112222100101121100
41031122200211312020
52330213423343223
6102104111341400
76001601515533
oct1153240456610
9257488311540
1083122871688
113228576a87a
1214139821860
137ab910a39c
144047807a1a
152267734043
hex135a825d88

83122871688 has 96 divisors (see below), whose sum is σ = 229054082400. Its totient is φ = 27224446464.

The previous prime is 83122871687. The next prime is 83122871701. The reversal of 83122871688 is 88617822138.

It is not an unprimeable number, because it can be changed into a prime (83122871681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12031131 + ... + 12038037.

It is an arithmetic number, because the mean of its divisors is an integer number (2385980025).

Almost surely, 283122871688 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 83122871688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114527041200).

83122871688 is an abundant number, since it is smaller than the sum of its proper divisors (145931210712).

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

83122871688 is a wasteful number, since it uses less digits than its factorization.

83122871688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811 (or 9804 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 83122871688 in words is "eighty-three billion, one hundred twenty-two million, eight hundred seventy-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 2833 4248 5666 6907 8499 11332 13814 16998 20721 22664 25497 27628 33996 41442 50994 55256 62163 67992 82884 101988 124326 165768 167147 203976 248652 334294 407513 497304 501441 668588 815026 1002882 1222539 1337176 1504323 1630052 2005764 2445078 3008646 3260104 3667617 4011528 4890156 6017292 7335234 9780312 12034584 14670468 19567531 29340936 39135062 58702593 78270124 117405186 156540248 176107779 234810372 352215558 469620744 704431116 1154484329 1408862232 2308968658 3463452987 4617937316 6926905974 9235874632 10390358961 13853811948 20780717922 27707623896 41561435844 83122871688