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90807025122 = 2321145872
BaseRepresentation
bin101010010010010000…
…1010011110111100010
322200101111102211110200
41110210201103313202
52441433044300442
6105414405410030
76363165656322
oct1244441236742
9280344384420
1090807025122
1135569220000
1215723109916
138742094938
144576175282
15256714034c
hex1524853de2

90807025122 has 90 divisors (see below), whose sum is σ = 216791385915. Its totient is φ = 27470402520.

The previous prime is 90807025073. The next prime is 90807025129. The reversal of 90807025122 is 22152070809.

It can be written as a sum of positive squares in only one way, i.e., 45403512561 + 45403512561 = 213081^2 + 213081^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=213081.

It is a super-2 number, since 2×908070251222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90807025129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 154696513 + ... + 154697099.

Almost surely, 290807025122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90807025122

90807025122 is an abundant number, since it is smaller than the sum of its proper divisors (125984360793).

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

90807025122 is an frugal number, since it uses more digits than its factorization.

90807025122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 90807025122 in words is "ninety billion, eight hundred seven million, twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 587 726 1089 1174 1331 1761 2178 2662 3522 3993 5283 6457 7986 10566 11979 12914 14641 19371 23958 29282 38742 43923 58113 71027 87846 116226 131769 142054 213081 263538 344569 426162 639243 689138 781297 1033707 1278486 1562594 2067414 2343891 3101121 3790259 4687782 6202242 7031673 7580518 8594267 11370777 14063346 17188534 22741554 25782801 34112331 41692849 51565602 68224662 77348403 83385698 125078547 154696806 250157094 375235641 458621339 750471282 917242678 1375864017 2751728034 4127592051 5044834729 8255184102 10089669458 15134504187 30269008374 45403512561 90807025122