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83117776374 = 2331539218081
BaseRepresentation
bin100110101101000110…
…1001001110111110110
321221112121202112011000
41031122031021313312
52330211122320444
6102103410224130
76001510304433
oct1153215116766
9257477675130
1083117776374
11322828aa676
1214137b85046
137ab80450c9
144046c7cb8a
152267079469
hex135a349df6

83117776374 has 16 divisors (see below), whose sum is σ = 184706169840. Its totient is φ = 27705925440.

The previous prime is 83117776367. The next prime is 83117776387. The reversal of 83117776374 is 47367771138.

83117776374 is a `hidden beast` number, since 8 + 31 + 177 + 76 + 374 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1539218081 = 83117776374 / (8 + 3 + 1 + 1 + 7 + 7 + 7 + 6 + 3 + 7 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 83117776374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769608987 + ... + 769609094.

It is an arithmetic number, because the mean of its divisors is an integer number (11544135615).

Almost surely, 283117776374 is an apocalyptic number.

83117776374 is an abundant number, since it is smaller than the sum of its proper divisors (101588393466).

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

83117776374 is a wasteful number, since it uses less digits than its factorization.

83117776374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539218092 (or 1539218086 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The spelling of 83117776374 in words is "eighty-three billion, one hundred seventeen million, seven hundred seventy-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 1539218081 3078436162 4617654243 9235308486 13852962729 27705925458 41558888187 83117776374