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45211613211 = 335942436689
BaseRepresentation
bin101010000110110100…
…100111100000011011
311022200212121220211000
4222012310213200123
51220043133110321
632434145440043
73160246241262
oct520664474033
9138625556730
1045211613211
11181a08601a6
128919340023
134356a0336b
14228c7d55d9
1512992dd826
hexa86d2781b

45211613211 has 32 divisors (see below), whose sum is σ = 68141664000. Its totient is φ = 29618797824.

The previous prime is 45211613201. The next prime is 45211613257. The reversal of 45211613211 is 11231611254.

45211613211 is a `hidden beast` number, since 4 + 5 + 21 + 1 + 613 + 21 + 1 = 666.

It is not a de Polignac number, because 45211613211 - 223 = 45203224603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45211613201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6755755 + ... + 6762443.

It is an arithmetic number, because the mean of its divisors is an integer number (2129427000).

Almost surely, 245211613211 is an apocalyptic number.

45211613211 is a deficient number, since it is larger than the sum of its proper divisors (22930050789).

45211613211 is a wasteful number, since it uses less digits than its factorization.

45211613211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10994 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The spelling of 45211613211 in words is "forty-five billion, two hundred eleven million, six hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 9 27 59 177 531 1593 4243 6689 12729 20067 38187 60201 114561 180603 250337 394651 751011 1183953 2253033 3551859 6759099 10655577 28381427 85144281 255432843 766298529 1674504193 5023512579 15070537737 45211613211