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542589272064 = 214327312547
BaseRepresentation
bin1111110010101001101…
…01110100000000000000
31220212111222102220021100
413321110311310000000
532342210323201224
61053132335054400
754125603500320
oct7712465640000
91825458386240
10542589272064
1119a124553a04
12891a8071400
133c220788288
141c39363d280
15e1a9acbac9
hex7e54d74000

542589272064 has 540 divisors, whose sum is σ = 1854384665952. Its totient is φ = 149750415360.

The previous prime is 542589272053. The next prime is 542589272081. The reversal of 542589272064 is 460272985245.

542589272064 is a `hidden beast` number, since 5 + 425 + 8 + 9 + 2 + 7 + 206 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 542589272064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991936239 + ... + 991936785.

Almost surely, 2542589272064 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 542589272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927192332976).

542589272064 is an abundant number, since it is smaller than the sum of its proper divisors (1311795393888).

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

542589272064 is an equidigital number, since it uses as much as digits as its factorization.

542589272064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 542589272064 in words is "five hundred forty-two billion, five hundred eighty-nine million, two hundred seventy-two thousand, sixty-four".