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90584616696 = 2337846163727
BaseRepresentation
bin101010001011101000…
…0111000111011111000
322122210222221022110120
41110113100320323320
52441004130213241
6105340342413240
76354525352260
oct1242720707370
9278728838416
1090584616696
1135464722292
1215680731220
138707c92c12
1445547dc7a0
15255285b666
hex1517438ef8

90584616696 has 64 divisors (see below), whose sum is σ = 258847841280. Its totient is φ = 25877854080.

The previous prime is 90584616667. The next prime is 90584616709. The reversal of 90584616696 is 69661648509.

It is a super-2 number, since 2×905846166962 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1389585 + ... + 1453311.

It is an arithmetic number, because the mean of its divisors is an integer number (4044497520).

Almost surely, 290584616696 is an apocalyptic number.

It is an amenable number.

90584616696 is an abundant number, since it is smaller than the sum of its proper divisors (168263224584).

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

90584616696 is a wasteful number, since it uses less digits than its factorization.

90584616696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72204 (or 72200 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 90584616696 in words is "ninety billion, five hundred eighty-four million, six hundred sixteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8461 16922 25383 33844 50766 59227 63727 67688 101532 118454 127454 177681 191181 203064 236908 254908 355362 382362 446089 473816 509816 710724 764724 892178 1338267 1421448 1529448 1784356 2676534 3568712 5353068 10706136 539194147 1078388294 1617582441 2156776588 3235164882 3774359029 4313553176 6470329764 7548718058 11323077087 12940659528 15097436116 22646154174 30194872232 45292308348 90584616696