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36291393009 = 346123472
BaseRepresentation
bin100001110011001000…
…101011010111110001
310110200012122210010000
4201303020223113301
51043311044034014
624401054300213
72423222515344
oct416310532761
9113605583100
1036291393009
11144335aa793
127049ab7669
133564937161
141a83c2a45b
15e26120509
hex87322b5f1

36291393009 has 45 divisors (see below), whose sum is σ = 55275671451. Its totient is φ = 23729053680.

The previous prime is 36291392999. The next prime is 36291393041. The reversal of 36291393009 is 90039319263.

The square root of 36291393009 is 190503.

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

36291393009 is a `hidden beast` number, since 3 + 629 + 13 + 9 + 3 + 0 + 0 + 9 = 666.

36291393009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1180128609 + 35111264400 = 34353^2 + 187380^2 .

It is not a de Polignac number, because 36291393009 - 213 = 36291384817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36291393049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104585974 + ... + 104586320.

Almost surely, 236291393009 is an apocalyptic number.

36291393009 is the 190503-rd square number.

36291393009 is the 95252-nd centered octagonal number.

It is an amenable number.

36291393009 is a deficient number, since it is larger than the sum of its proper divisors (18984278442).

36291393009 is an frugal number, since it uses more digits than its factorization.

36291393009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 36291393009 in words is "thirty-six billion, two hundred ninety-one million, three hundred ninety-three thousand, nine".

Divisors: 1 3 9 27 61 81 183 347 549 1041 1647 3123 3721 4941 9369 11163 21167 28107 33489 63501 100467 120409 190503 301401 361227 571509 1083681 1291187 1714527 3251043 3873561 7344949 9753129 11620683 22034847 34862049 66104541 104586147 198313623 448041889 594940869 1344125667 4032377001 12097131003 36291393009