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90261814537 = 2337457232091
BaseRepresentation
bin101010000010000000…
…1011111110100001001
322121222111112021011001
41110010001133310021
52434324011031122
6105244331535001
76343525523146
oct1240401376411
9277874467131
1090261814537
1135309494244
12155b05ba461
13868614041b
1445239b13cd
152534346527
hex150405fd09

90261814537 has 16 divisors (see below), whose sum is σ = 96943900032. Its totient is φ = 83819767680.

The previous prime is 90261814519. The next prime is 90261814579. The reversal of 90261814537 is 73541816209.

It is the 122653-rd star number.

It is a cyclic number.

It is not a de Polignac number, because 90261814537 - 211 = 90261812489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90261814597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272862 + ... + 504952.

It is an arithmetic number, because the mean of its divisors is an integer number (6058993752).

It is a 2-persistent number, because it is pandigital, and so is 2⋅90261814537 = 180523629074, but 3⋅90261814537 = 270785443611 is not.

Almost surely, 290261814537 is an apocalyptic number.

It is an amenable number.

90261814537 is a deficient number, since it is larger than the sum of its proper divisors (6682085495).

90261814537 is a wasteful number, since it uses less digits than its factorization.

90261814537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232608.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 90261814537 in words is "ninety billion, two hundred sixty-one million, eight hundred fourteen thousand, five hundred thirty-seven".

Divisors: 1 23 37 457 851 10511 16909 232091 388907 5338093 8587367 106065587 197509441 2439508501 3924426719 90261814537