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83400076296 = 23321378184053
BaseRepresentation
bin100110110101100001…
…0000010110000001000
321222021021221211211200
41031223002002300020
52331300404420141
6102151413024200
76011505644325
oct1155302026010
9258237854750
1083400076296
1132408194799
12141b6625060
137b31686594
144072565b4c
152281c3dab6
hex136b082c08

83400076296 has 48 divisors (see below), whose sum is σ = 225894284460. Its totient is φ = 27797677440.

The previous prime is 83400076273. The next prime is 83400076313. The reversal of 83400076296 is 69267000438.

It can be written as a sum of positive squares in 2 ways, for example, as 83397353796 + 2722500 = 288786^2 + 1650^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950206 + ... + 1034258.

Almost surely, 283400076296 is an apocalyptic number.

It is an amenable number.

83400076296 is an abundant number, since it is smaller than the sum of its proper divisors (142494208164).

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

83400076296 is a wasteful number, since it uses less digits than its factorization.

83400076296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97846 (or 97839 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 83400076296 in words is "eighty-three billion, four hundred million, seventy-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13781 27562 41343 55124 82686 84053 110248 124029 165372 168106 248058 252159 330744 336212 496116 504318 672424 756477 992232 1008636 1512954 2017272 3025908 6051816 1158334393 2316668786 3475003179 4633337572 6950006358 9266675144 10425009537 13900012716 20850019074 27800025432 41700038148 83400076296