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42799792464 = 2432111319139787
BaseRepresentation
bin100111110111000100…
…010000000101010000
311002110210100201201200
4213313010100011100
51200123221324324
631354552031200
73043422143022
oct476704200520
9132423321650
1042799792464
1117173404610
128365692500
1340611391b0
14210037a012
1511a76ceec9
hex9f7110150

42799792464 has 480 divisors, whose sum is σ = 149382105600. Its totient is φ = 11245962240.

The previous prime is 42799792459. The next prime is 42799792487. The reversal of 42799792464 is 46429799724.

It is a super-2 number, since 2×427997924642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54383079 + ... + 54383865.

It is an arithmetic number, because the mean of its divisors is an integer number (311212720).

Almost surely, 242799792464 is an apocalyptic number.

42799792464 is a gapful number since it is divisible by the number (44) 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 42799792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74691052800).

42799792464 is an abundant number, since it is smaller than the sum of its proper divisors (106582313136).

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

42799792464 is a wasteful number, since it uses less digits than its factorization.

42799792464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 42799792464 in words is "forty-two billion, seven hundred ninety-nine million, seven hundred ninety-two thousand, four hundred sixty-four".