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90517089330 = 235553702827
BaseRepresentation
bin101010001001100111…
…1010010110000110010
322122122021212120100000
41110103033102300302
52440334333324310
6105325531210430
76353045364423
oct1242317226062
9278567776300
1090517089330
113542a59aa48
1215661ba6a16
1386c6cab9b5
14454986164a
15254b96d4c0
hex15133d2c32

90517089330 has 96 divisors (see below), whose sum is σ = 248666169024. Its totient is φ = 23682424896.

The previous prime is 90517089319. The next prime is 90517089343. The reversal of 90517089330 is 3398071509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 222624 + ... + 480203.

It is an arithmetic number, because the mean of its divisors is an integer number (2590272594).

Almost surely, 290517089330 is an apocalyptic number.

90517089330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90517089330 is an abundant number, since it is smaller than the sum of its proper divisors (158149079694).

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

90517089330 is a wasteful number, since it uses less digits than its factorization.

90517089330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702902 (or 702890 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 90517089330 in words is "ninety billion, five hundred seventeen million, eighty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 12879 14310 21465 25758 42930 64395 128790 702827 1405654 2108481 3514135 4216962 6325443 7028270 10542405 12650886 18976329 21084810 31627215 37249831 37952658 56928987 63254430 74499662 94881645 111749493 113857974 170786961 186249155 189763290 223498986 284644935 335248479 341573922 372498310 558747465 569289870 670496958 853934805 1005745437 1117494930 1676242395 1707869610 2011490874 3017236311 3352484790 5028727185 6034472622 9051708933 10057454370 15086181555 18103417866 30172363110 45258544665 90517089330