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542727295920 = 243354118313347
BaseRepresentation
bin1111110010111010001…
…00010101001110110000
31220212212121011020102000
413321131010111032300
532343001141432140
61053154145254000
754132200620245
oct7713504251660
91825777136360
10542727295920
1119a195456307
1289226334300
133c243252cb4
141c3a7acb5cc
15e1b6c92a30
hex7e5d1153b0

542727295920 has 320 divisors, whose sum is σ = 1916607329280. Its totient is φ = 141078067200.

The previous prime is 542727295907. The next prime is 542727295931. The reversal of 542727295920 is 29592727245.

542727295920 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 27 + 29 + 592 + 0 = 666.

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

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, 162151687 + ... + 162155033.

It is an arithmetic number, because the mean of its divisors is an integer number (5989397904).

Almost surely, 2542727295920 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 542727295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958303664640).

542727295920 is an abundant number, since it is smaller than the sum of its proper divisors (1373880033360).

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

542727295920 is a wasteful number, since it uses less digits than its factorization.

542727295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 542727295920 in words is "five hundred forty-two billion, seven hundred twenty-seven million, two hundred ninety-five thousand, nine hundred twenty".