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45825652854 = 23319291540151
BaseRepresentation
bin101010101011011010…
…111111100001110110
311101021200001100212000
4222223122333201312
51222322331342404
633015122440130
73211413423312
oct525332774166
9141250040760
1045825652854
1118486428283
128a6ab03046
134423ca6427
14230a194b42
1512d3181339
hexaab6bf876

45825652854 has 64 divisors (see below), whose sum is σ = 110890944000. Its totient is φ = 13972240800.

The previous prime is 45825652843. The next prime is 45825652889.

45825652854 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 565 + 28 + 54 = 666.

45825652854 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45825652854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740322 + ... + 799829.

It is an arithmetic number, because the mean of its divisors is an integer number (1732671000).

Almost surely, 245825652854 is an apocalyptic number.

45825652854 is an abundant number, since it is smaller than the sum of its proper divisors (65065291146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45825652854 is a wasteful number, since it uses less digits than its factorization.

45825652854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540210 (or 1540204 counting only the distinct ones).

The product of its digits is 15360000, while the sum is 54.

The spelling of 45825652854 in words is "forty-five billion, eight hundred twenty-five million, six hundred fifty-two thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 87 114 171 174 261 342 513 522 551 783 1026 1102 1566 1653 3306 4959 9918 14877 29754 1540151 3080302 4620453 9240906 13861359 27722718 29262869 41584077 44664379 58525738 83168154 87788607 89328758 133993137 175577214 263365821 267986274 401979411 526731642 790097463 803958822 848623201 1205938233 1580194926 1697246402 2411876466 2545869603 5091739206 7637608809 15275217618 22912826427 45825652854