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540559660014 = 232114758087219
BaseRepresentation
bin1111101110110111101…
…11011101001111101110
31220200021112100220221200
413313123313131033232
532324031233110024
61052155113310330
754024400204113
oct7673367351756
91820245326850
10540559660014
11199282921380
12889204053a6
133bc891436ba
141c23dc7690a
15e0db81a2c9
hex7ddbddd3ee

540559660014 has 48 divisors (see below), whose sum is σ = 1304871310080. Its totient is φ = 160320721680.

The previous prime is 540559659989. The next prime is 540559660019. The reversal of 540559660014 is 410066955045.

540559660014 is a `hidden beast` number, since 5 + 40 + 5 + 596 + 6 + 0 + 0 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540559660019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29034304 + ... + 29052915.

It is an arithmetic number, because the mean of its divisors is an integer number (27184818960).

Almost surely, 2540559660014 is an apocalyptic number.

540559660014 is an abundant number, since it is smaller than the sum of its proper divisors (764311650066).

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

540559660014 is a wasteful number, since it uses less digits than its factorization.

540559660014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58087285 (or 58087282 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 540559660014 in words is "five hundred forty billion, five hundred fifty-nine million, six hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 58087219 116174438 174261657 348523314 522784971 638959409 1045569942 1277918818 1916878227 2730099293 3833756454 5460198586 5750634681 8190297879 11501269362 16380595758 24570893637 30031092223 49141787274 60062184446 90093276669 180186553338 270279830007 540559660014