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540274032480 = 2535713172127337
BaseRepresentation
bin1111101110010101101…
…01110111111101100000
31220122112121220112122010
413313022311313331200
532322440123014410
61052110511312520
754014331334560
oct7671265677540
91818477815563
10540274032480
11199146674166
128886081b740
133bc41c08720
141c213d64da0
15e0c16e9c20
hex7dcad77f60

540274032480 has 1152 divisors, whose sum is σ = 2249235136512. Its totient is φ = 106125852672.

The previous prime is 540274032409. The next prime is 540274032491. The reversal of 540274032480 is 84230472045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1603186872 + ... + 1603187208.

It is an arithmetic number, because the mean of its divisors is an integer number (1952461056).

Almost surely, 2540274032480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540274032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124617568256).

540274032480 is an abundant number, since it is smaller than the sum of its proper divisors (1708961104032).

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

540274032480 is a wasteful number, since it uses less digits than its factorization.

540274032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 540274032480 in words is "five hundred forty billion, two hundred seventy-four million, thirty-two thousand, four hundred eighty".