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85531430358 = 23311631228197
BaseRepresentation
bin100111110101000010…
…0100000110111010110
322011202211110211222000
41033222010200313112
52400132021232413
6103143111220130
76115356106503
oct1175204406726
9264684424860
1085531430358
1133301298630
12146b0377646
1380b110182a
1441d56544aa
152358deb073
hex13ea120dd6

85531430358 has 64 divisors (see below), whose sum is σ = 207678435840. Its totient is φ = 25877426400.

The previous prime is 85531430339. The next prime is 85531430377. The reversal of 85531430358 is 85303413558.

85531430358 is a `hidden beast` number, since 8 + 553 + 1 + 43 + 0 + 3 + 58 = 666.

It is an interprime number because it is at equal distance from previous prime (85531430339) and next prime (85531430377).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260716 + ... + 488912.

It is an arithmetic number, because the mean of its divisors is an integer number (3244975560).

Almost surely, 285531430358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85531430358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103839217920).

85531430358 is an abundant number, since it is smaller than the sum of its proper divisors (122147005482).

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

85531430358 is a wasteful number, since it uses less digits than its factorization.

85531430358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228850 (or 228844 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 85531430358 in words is "eighty-five billion, five hundred thirty-one million, four hundred thirty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 631 1262 1893 3786 5679 6941 11358 13882 17037 20823 34074 41646 62469 124938 187407 228197 374814 456394 684591 1369182 2053773 2510167 4107546 5020334 6161319 7530501 12322638 15061002 22591503 45183006 67774509 135549018 143992307 287984614 431976921 863953842 1295930763 1583915377 2591861526 3167830754 3887792289 4751746131 7775584578 9503492262 14255238393 28510476786 42765715179 85531430358