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90234287683929 = 32432736372
BaseRepresentation
bin10100100001000101001110…
…101010011111100101011001
3102211111022110122200202221100
4110201011032222133211121
543311344310121341204
6515525020503502013
725002132524110014
oct2441051652374531
9384438418622840
1090234287683929
112682a167aa3824
12a154014457909
133b47097a9b37c
14183d51184c37b
15a67303079a39
hex52114ea9f959

90234287683929 has 27 divisors (see below), whose sum is σ = 133441844944863. Its totient is φ = 58756412654352.

The previous prime is 90234287683861. The next prime is 90234287683997. The reversal of 90234287683929 is 92938678243209.

The square root of 90234287683929 is 9499173.

It is a perfect power (a square), and thus also a powerful number.

90234287683929 is a `hidden beast` number, since 9 + 0 + 234 + 287 + 68 + 39 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (90234287683861) and next prime (90234287683997).

It can be written as a sum of positive squares in only one way, i.e., 89276136446025 + 958151237904 = 9448605^2 + 978852^2 .

It is not a de Polignac number, because 90234287683929 - 213 = 90234287675737 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90234287688929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1225356499 + ... + 1225430135.

Almost surely, 290234287683929 is an apocalyptic number.

90234287683929 is the 9499173-rd square number.

90234287683929 is the 4749587-th centered octagonal number.

It is an amenable number.

90234287683929 is a deficient number, since it is larger than the sum of its proper divisors (43207557260934).

90234287683929 is an frugal number, since it uses more digits than its factorization.

90234287683929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147366 (or 73683 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 90234287683929 in words is "ninety trillion, two hundred thirty-four billion, two hundred eighty-seven million, six hundred eighty-three thousand, nine hundred twenty-nine".

Divisors: 1 3 9 43 129 387 1849 5547 16641 73637 220911 662733 3166391 9499173 28497519 136154813 408464439 1225393317 5422407769 16267223307 48801669921 233163534067 699490602201 2098471806603 10026031964881 30078095894643 90234287683929