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86117788159 = 13261109173443
BaseRepresentation
bin101000000110100000…
…1010010100111111111
322020021200210220122121
41100031001102213333
52402332123210114
6103321215023411
76136036056454
oct1201501224777
9266250726577
1086117788159
1133582278957
121483480ab67
138175731b00
14424d48982b
152390621a24
hex140d0529ff

86117788159 has 48 divisors (see below), whose sum is σ = 96420123360. Its totient is φ = 76851141120.

The previous prime is 86117788123. The next prime is 86117788171. The reversal of 86117788159 is 95188771168.

It is not a de Polignac number, because 86117788159 - 29 = 86117787647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 86117788097 and 86117788106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86117788189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194396592 + ... + 194397034.

It is an arithmetic number, because the mean of its divisors is an integer number (2008752570).

Almost surely, 286117788159 is an apocalyptic number.

86117788159 is a deficient number, since it is larger than the sum of its proper divisors (10302335201).

86117788159 is a wasteful number, since it uses less digits than its factorization.

86117788159 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 61.

The spelling of 86117788159 in words is "eighty-six billion, one hundred seventeen million, seven hundred eighty-eight thousand, one hundred fifty-nine".

Divisors: 1 13 61 109 169 173 443 793 1417 2249 5759 6649 10309 10553 18421 18857 27023 29237 48287 74867 76639 86437 137189 245141 351299 627731 996307 1123681 1150277 1783457 2945507 3186833 4566887 4674979 8160503 8353651 12951991 14953601 38291591 60774727 108597463 194396813 497790683 509572711 790071451 1411767019 6624445243 86117788159