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90584043066 = 23311198026231
BaseRepresentation
bin101010001011100111…
…0101100111000111010
322122210221212011121000
41110113032230320322
52441004003334231
6105340322225430
76354520443006
oct1242716547072
9278727764530
1090584043066
1135464370310
12156804b5276
138707b21aaa
1445546cd706
1525527966e6
hex15173ace3a

90584043066 has 64 divisors (see below), whose sum is σ = 231155481600. Its totient is φ = 26004985200.

The previous prime is 90584043059. The next prime is 90584043073. The reversal of 90584043066 is 66034048509.

90584043066 is a `hidden beast` number, since 9 + 0 + 584 + 0 + 4 + 3 + 0 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (90584043059) and next prime (90584043073).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 4001830 + ... + 4024401.

It is an arithmetic number, because the mean of its divisors is an integer number (3611804400).

Almost surely, 290584043066 is an apocalyptic number.

90584043066 is an abundant number, since it is smaller than the sum of its proper divisors (140571438534).

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

90584043066 is a wasteful number, since it uses less digits than its factorization.

90584043066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026272 (or 8026266 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90584043066 in words is "ninety billion, five hundred eighty-four million, forty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 8026231 16052462 24078693 48157386 72236079 88288541 144472158 152498389 176577082 216708237 264865623 304996778 433416474 457495167 529731246 794596869 914990334 1372485501 1589193738 1677482279 2383790607 2744971002 3354964558 4117456503 4767581214 5032446837 8234913006 10064893674 15097340511 30194681022 45292021533 90584043066