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542529681824 = 251341594431217
BaseRepresentation
bin1111110010100010100…
…10011111100110100000
31220212100211022101211102
413321101102133212200
532342100044304244
61053122405533532
754124251130664
oct7712122374640
91825324271742
10542529681824
1119a0a3952979
12891901142a8
133c211322990
141c38976a8a4
15e1a475a54e
hex7e5149f9a0

542529681824 has 192 divisors, whose sum is σ = 1201985930880. Its totient is φ = 239411527680.

The previous prime is 542529681761. The next prime is 542529681857. The reversal of 542529681824 is 428186925245.

It is a self number, because there is not a number n which added to its sum of digits gives 542529681824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445792064 + ... + 445793280.

It is an arithmetic number, because the mean of its divisors is an integer number (6260343390).

Almost surely, 2542529681824 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 542529681824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600992965440).

542529681824 is an abundant number, since it is smaller than the sum of its proper divisors (659456249056).

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

542529681824 is a wasteful number, since it uses less digits than its factorization.

542529681824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 56.

The spelling of 542529681824 in words is "five hundred forty-two billion, five hundred twenty-nine million, six hundred eighty-one thousand, eight hundred twenty-four".