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45379638567 = 32291062716361
BaseRepresentation
bin101010010000110101…
…100101010100100111
311100010120210111021100
4222100311211110213
51220414141413232
632502551051143
73164356364154
oct522065452447
9140116714240
1045379638567
111827769412a
128965670ab3
134382773953
1422a6c5322b
1512a8e2dc7c
hexa90d65527

45379638567 has 24 divisors (see below), whose sum is σ = 67819181040. Its totient is φ = 29205348480.

The previous prime is 45379638553. The next prime is 45379638571. The reversal of 45379638567 is 76583697354.

45379638567 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 9 + 63 + 8 + 567 = 666.

It is not a de Polignac number, because 45379638567 - 224 = 45362861351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45379638467) 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 23 ways as a sum of consecutive naturals, for example, 2765467 + ... + 2781827.

It is an arithmetic number, because the mean of its divisors is an integer number (2825799210).

Almost surely, 245379638567 is an apocalyptic number.

45379638567 is a deficient number, since it is larger than the sum of its proper divisors (22439542473).

45379638567 is a wasteful number, since it uses less digits than its factorization.

45379638567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27023 (or 27020 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 45379638567 in words is "forty-five billion, three hundred seventy-nine million, six hundred thirty-eight thousand, five hundred sixty-seven".

Divisors: 1 3 9 29 87 261 10627 16361 31881 49083 95643 147249 308183 474469 924549 1423407 2773647 4270221 173868347 521605041 1564815123 5042182063 15126546189 45379638567