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90974568090 = 23574311518753
BaseRepresentation
bin101010010111010000…
…0011011111010011010
322200211011200220012210
41110232200123322122
52442303442134330
6105443152415550
76400302032640
oct1245640337232
9280734626183
1090974568090
113564485456a
121576b2475b6
13876a9c67a3
144590509190
152576bd78b0
hex152e81be9a

90974568090 has 128 divisors (see below), whose sum is σ = 255584305152. Its totient is φ = 20290636800.

The previous prime is 90974568011. The next prime is 90974568103. The reversal of 90974568090 is 9086547909.

It is a self number, because there is not a number n which added to its sum of digits gives 90974568090.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10389154 + ... + 10397906.

It is an arithmetic number, because the mean of its divisors is an integer number (1996752384).

Almost surely, 290974568090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90974568090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127792152576).

90974568090 is an abundant number, since it is smaller than the sum of its proper divisors (164609737062).

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

90974568090 is a wasteful number, since it uses less digits than its factorization.

90974568090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964.

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 90974568090 in words is "ninety billion, nine hundred seventy-four million, five hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1151 1290 1505 1806 2302 3010 3453 4515 5755 6906 8057 8753 9030 11510 16114 17265 17506 24171 26259 34530 40285 43765 48342 49493 52518 61271 80570 87530 98986 120855 122542 131295 148479 183813 241710 247465 262590 296958 306355 346451 367626 376379 494930 612710 692902 742395 752758 919065 1039353 1129137 1484790 1732255 1838130 1881895 2078706 2258274 2634653 3464510 3763790 5196765 5269306 5645685 7903959 10074703 10393530 11291370 13173265 15807918 20149406 26346530 30224109 39519795 50373515 60448218 70522921 79039590 100747030 141045842 151120545 211568763 302241090 352614605 423137526 433212229 705229210 866424458 1057843815 1299636687 2115687630 2166061145 2599273374 3032485603 4332122290 6064971206 6498183435 9097456809 12996366870 15162428015 18194913618 30324856030 45487284045 90974568090