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83198435817 = 3719303768659
BaseRepresentation
bin100110101111100000…
…0110110000111101001
321221202020112110002210
41031133000312013221
52330342244421232
6102115411115333
76003510015240
oct1153700660751
9257666473083
1083198435817
1132314391272
121415aba2b49
137acb9766a3
144053877957
15226e1ad5cc
hex135f0361e9

83198435817 has 32 divisors (see below), whose sum is σ = 133497011200. Its totient is φ = 45024268608.

The previous prime is 83198435807. The next prime is 83198435843. The reversal of 83198435817 is 71853489138.

It is a happy number.

It is not a de Polignac number, because 83198435817 - 214 = 83198419433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83198435807) 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 31 ways as a sum of consecutive naturals, for example, 1177434 + ... + 1246092.

It is an arithmetic number, because the mean of its divisors is an integer number (4171781600).

Almost surely, 283198435817 is an apocalyptic number.

It is an amenable number.

83198435817 is a deficient number, since it is larger than the sum of its proper divisors (50298575383).

83198435817 is a wasteful number, since it uses less digits than its factorization.

83198435817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71725.

The product of its digits is 5806080, while the sum is 57.

The spelling of 83198435817 in words is "eighty-three billion, one hundred ninety-eight million, four hundred thirty-five thousand, eight hundred seventeen".

Divisors: 1 3 7 19 21 57 133 399 3037 9111 21259 57703 63777 68659 173109 205977 403921 480613 1211763 1304521 1441839 3913563 9131647 27394941 208517383 625552149 1459621681 3961830277 4378865043 11885490831 27732811939 83198435817