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90693129410 = 25132977331121
BaseRepresentation
bin101010001110110111…
…0110101010011000010
322200002120010022220222
41110131232311103002
52441214420120120
6105355220303042
76360313611002
oct1243556652302
9280076108828
1090693129410
113550a9a8514
12156b0b41a82
1387245c7320
144564da8002
15255c143525
hex151dbb54c2

90693129410 has 64 divisors (see below), whose sum is σ = 182108515680. Its totient is φ = 32289116160.

The previous prime is 90693129361. The next prime is 90693129469. The reversal of 90693129410 is 1492139609.

It is a happy number.

It is a Cunningham number, because it is equal to 3011532+1.

It can be written as a sum of positive squares in 16 ways, for example, as 1116829561 + 89576299849 = 33419^2 + 299293^2 .

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 2898650 + ... + 2929770.

Almost surely, 290693129410 is an apocalyptic number.

90693129410 is an abundant number, since it is smaller than the sum of its proper divisors (91415386270).

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

90693129410 is a wasteful number, since it uses less digits than its factorization.

90693129410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31943.

The product of its (nonzero) digits is 104976, while the sum is 44.

The spelling of 90693129410 in words is "ninety billion, six hundred ninety-three million, one hundred twenty-nine thousand, four hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 773 1546 1885 3770 3865 7730 10049 20098 22417 31121 44834 50245 62242 100490 112085 155605 224170 291421 311210 404573 582842 809146 902509 1457105 1805018 2022865 2914210 4045730 4512545 9025090 11732617 23465234 24056533 48113066 58663085 117326170 120282665 240565330 312734929 625469858 697639457 1395278914 1563674645 3127349290 3488197285 6976394570 9069312941 18138625882 45346564705 90693129410