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45411183801 = 3225122832
BaseRepresentation
bin101010010010101101…
…111010110010111001
311100012210011011012100
4222102231322302321
51221000230340201
632510035134013
73165221456604
oct522255726271
9140183134170
1045411183801
111829347a575
128974144309
13438916a079
1422ab10533b
1512abab0886
hexa92b7acb9

45411183801 has 27 divisors (see below), whose sum is σ = 66089833797. Its totient is φ = 30046959000.

The previous prime is 45411183793. The next prime is 45411183823. The reversal of 45411183801 is 10838111454.

The square root of 45411183801 is 213099.

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

It is not a de Polignac number, because 45411183801 - 23 = 45411183793 is a prime.

It is a super-2 number, since 2×454111838012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45411183901) 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, 160463406 + ... + 160463688.

Almost surely, 245411183801 is an apocalyptic number.

45411183801 is the 213099-th square number.

45411183801 is the 106550-th centered octagonal number.

It is an amenable number.

45411183801 is a deficient number, since it is larger than the sum of its proper divisors (20678649996).

45411183801 is an frugal number, since it uses more digits than its factorization.

45411183801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 45411183801 by its sum of digits (36), we get a square (1634802616836 = 12785942).

The spelling of 45411183801 in words is "forty-five billion, four hundred eleven million, one hundred eighty-three thousand, eight hundred one".

Divisors: 1 3 9 251 283 753 849 2259 2547 63001 71033 80089 189003 213099 240267 567009 639297 720801 17829283 20102339 53487849 60307017 160463547 180921051 5045687089 15137061267 45411183801