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46165249321 = 2923122392
BaseRepresentation
bin101010111111101010…
…011100110100101001
311102011100001122121221
4222333222130310221
51224021300434241
633112533302041
73223006100422
oct527752346451
9142140048557
1046165249321
1118640097114
128b44794921
134479459199
14233d314649
151302db25d1
hexabfa9cd29

46165249321 has 27 divisors (see below), whose sum is σ = 49611700983. Its totient is φ = 42955011120.

The previous prime is 46165249313. The next prime is 46165249349. The reversal of 46165249321 is 12394256164.

The square root of 46165249321 is 214861.

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

It can be written as a sum of positive squares in only one way, i.e., 24207936921 + 21957312400 = 155589^2 + 148180^2 .

It is not a de Polignac number, because 46165249321 - 23 = 46165249313 is a prime.

It is a super-2 number, since 2×461652493212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46165249721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193159920 + ... + 193160158.

Almost surely, 246165249321 is an apocalyptic number.

46165249321 is the 214861-st square number.

46165249321 is the 107431-st centered octagonal number.

It is an amenable number.

46165249321 is a deficient number, since it is larger than the sum of its proper divisors (3446451662).

46165249321 is an frugal number, since it uses more digits than its factorization.

46165249321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The spelling of 46165249321 in words is "forty-six billion, one hundred sixty-five million, two hundred forty-nine thousand, three hundred twenty-one".

Divisors: 1 29 31 239 841 899 961 6931 7409 26071 27869 57121 200999 214861 229679 808201 1656509 1770751 6230969 6660691 48038761 51351779 54893281 193160039 1489201591 1591905149 46165249321