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83153895993 = 3271319903111
BaseRepresentation
bin100110101110001011…
…0111100001000111001
321221122010201120221200
41031130112330020321
52330244344132433
6102111140324413
76002426311440
oct1153426741071
9257563646850
1083153895993
11322a122a8a3
12141480a3709
137ac268066c
14404b9a1d57
15226a311613
hex135c5bc239

83153895993 has 12 divisors (see below), whose sum is σ = 137269923648. Its totient is φ = 47516511960.

The previous prime is 83153895991. The next prime is 83153896019. The reversal of 83153895993 is 39959835138.

83153895993 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 38 + 9 + 599 + 3 = 666.

It is not a de Polignac number, because 83153895993 - 21 = 83153895991 is a prime.

It is a super-2 number, since 2×831538959932 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 1319903111 = 83153895993 / (8 + 3 + 1 + 5 + 3 + 8 + 9 + 5 + 9 + 9 + 3).

It is a self number, because there is not a number n which added to its sum of digits gives 83153895993.

It is not an unprimeable number, because it can be changed into a prime (83153895991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659951493 + ... + 659951618.

It is an arithmetic number, because the mean of its divisors is an integer number (11439160304).

Almost surely, 283153895993 is an apocalyptic number.

It is an amenable number.

83153895993 is a deficient number, since it is larger than the sum of its proper divisors (54116027655).

83153895993 is a wasteful number, since it uses less digits than its factorization.

83153895993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319903124 (or 1319903121 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 83153895993 in words is "eighty-three billion, one hundred fifty-three million, eight hundred ninety-five thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 63 1319903111 3959709333 9239321777 11879127999 27717965331 83153895993