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542927319480 = 2333571312234517
BaseRepresentation
bin1111110011010001111…
…11010111000110111000
31220220101112112111011000
413321220333113012320
532343403343210410
61053230052405000
754140150033310
oct7715077270670
91826345474130
10542927319480
1119a288354a37
1289281316760
133c275817c30
141c3c64b8440
15e1c9603dc0
hex7e68fd71b8

542927319480 has 512 divisors, whose sum is σ = 2229708902400. Its totient is φ = 114432694272.

The previous prime is 542927319457. The next prime is 542927319491. The reversal of 542927319480 is 84913729245.

542927319480 is a `hidden beast` number, since 5 + 4 + 2 + 92 + 73 + 1 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120194182 + ... + 120198698.

It is an arithmetic number, because the mean of its divisors is an integer number (4354900200).

Almost surely, 2542927319480 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 542927319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114854451200).

542927319480 is an abundant number, since it is smaller than the sum of its proper divisors (1686781582920).

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

542927319480 is a wasteful number, since it uses less digits than its factorization.

542927319480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 542927319480 in words is "five hundred forty-two billion, nine hundred twenty-seven million, three hundred nineteen thousand, four hundred eighty".