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540566625354 = 23721838661991
BaseRepresentation
bin1111101110111000100…
…10000001110001001010
31220200022000110210121020
413313130102001301022
532324040024002404
61052155522453310
754024513334200
oct7673422016112
91820260423536
10540566625354
11199286849558
1288922804236
133bc8a711bc2
141c240b6b070
15e0dc243ed9
hex7ddc481c4a

540566625354 has 24 divisors (see below), whose sum is σ = 1257644802528. Its totient is φ = 154447607160.

The previous prime is 540566625353. The next prime is 540566625373. The reversal of 540566625354 is 453526665045.

It is a super-4 number, since 4×5405666253544 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 540566625297 and 540566625306.

It is not an unprimeable number, because it can be changed into a prime (540566625353) 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 11 ways as a sum of consecutive naturals, for example, 919330702 + ... + 919331289.

It is an arithmetic number, because the mean of its divisors is an integer number (52401866772).

Almost surely, 2540566625354 is an apocalyptic number.

540566625354 is an abundant number, since it is smaller than the sum of its proper divisors (717078177174).

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

540566625354 is a wasteful number, since it uses less digits than its factorization.

540566625354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838662010 (or 1838662003 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 540566625354 in words is "five hundred forty billion, five hundred sixty-six million, six hundred twenty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1838661991 3677323982 5515985973 11031971946 12870633937 25741267874 38611901811 77223803622 90094437559 180188875118 270283312677 540566625354