Search a number
-
+
542420303656 = 2371153101271607
BaseRepresentation
bin1111110010010101100…
…01001111111100101000
31220212002012111102012011
413321022301033330220
532341334044204111
61053103501325304
754121452336130
oct7711261177450
91825065442164
10542420303656
1119a0481364a0
128915b566834
133c1c477767a
141c379017ac0
15e199d52021
hex7e4ac4ff28

542420303656 has 256 divisors, whose sum is σ = 1311683051520. Its totient is φ = 204197760000.

The previous prime is 542420303653. The next prime is 542420303683. The reversal of 542420303656 is 656303024245.

It is not an unprimeable number, because it can be changed into a prime (542420303653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 893608105 + ... + 893608711.

It is an arithmetic number, because the mean of its divisors is an integer number (5123761920).

Almost surely, 2542420303656 is an apocalyptic number.

542420303656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542420303656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655841525760).

542420303656 is an abundant number, since it is smaller than the sum of its proper divisors (769262747864).

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

542420303656 is a wasteful number, since it uses less digits than its factorization.

542420303656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 542420303656 in words is "five hundred forty-two billion, four hundred twenty million, three hundred three thousand, six hundred fifty-six".