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540064462080 = 283511138531153
BaseRepresentation
bin1111101101111100101…
…10011011010100000000
31220122000000120021002110
413312332112123110000
532322023000241310
61052034023415320
754006205120263
oct7667626332400
91818000507073
10540064462080
11199049344890
12888025b4540
133bc0a680280
141c1d41b0cda
15e0ad0eed20
hex7dbe59b500

540064462080 has 576 divisors, whose sum is σ = 2030509861632. Its totient is φ = 120607211520.

The previous prime is 540064462061. The next prime is 540064462111. The reversal of 540064462080 is 80264460045.

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 63 ways as a sum of consecutive naturals, for example, 468398784 + ... + 468399936.

It is an arithmetic number, because the mean of its divisors is an integer number (3525190732).

Almost surely, 2540064462080 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 540064462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015254930816).

540064462080 is an abundant number, since it is smaller than the sum of its proper divisors (1490445399552).

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

540064462080 is a wasteful number, since it uses less digits than its factorization.

540064462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 540064462080 in words is "five hundred forty billion, sixty-four million, four hundred sixty-two thousand, eighty".