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45142157727 = 3247702715187
BaseRepresentation
bin101010000010101011…
…101010100110011111
311022112000221012210200
4222002223222212133
51214422343021402
632423225034543
73155444003202
oct520253524637
9138460835720
1045142157727
1118165631277
1288ba025a53
1343454c5644
1422834b5939
15129316e21c
hexa82aea99f

45142157727 has 24 divisors (see below), whose sum is σ = 66606548736. Its totient is φ = 29448326736.

The previous prime is 45142157699. The next prime is 45142157759. The reversal of 45142157727 is 72775124154.

It is a happy number.

45142157727 is a `hidden beast` number, since 4 + 51 + 4 + 2 + 1 + 577 + 27 = 666.

It is not a de Polignac number, because 45142157727 - 215 = 45142124959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142157227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964828 + ... + 2980014.

It is an arithmetic number, because the mean of its divisors is an integer number (2775272864).

Almost surely, 245142157727 is an apocalyptic number.

45142157727 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

45142157727 is a deficient number, since it is larger than the sum of its proper divisors (21464391009).

45142157727 is a wasteful number, since it uses less digits than its factorization.

45142157727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22267 (or 22264 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The spelling of 45142157727 in words is "forty-five billion, one hundred forty-two million, one hundred fifty-seven thousand, seven hundred twenty-seven".

Divisors: 1 3 9 47 141 423 7027 15187 21081 45561 63243 136683 330269 713789 990807 2141367 2972421 6424101 106719049 320157147 960471441 5015795303 15047385909 45142157727