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42363374760 = 23335712744123
BaseRepresentation
bin100111011101000011…
…011100110010101000
311001100101011102012000
4213131003130302220
51143230010443020
631243402051000
73026542513140
oct473503346250
9131311142160
1042363374760
1116a6a025523
1282634a9a60
133cc18b6775
14209c415920
15117e226090
hex9dd0dcca8

42363374760 has 256 divisors, whose sum is σ = 162658713600. Its totient is φ = 9606594816.

The previous prime is 42363374749. The next prime is 42363374761. The reversal of 42363374760 is 6747336324.

42363374760 is a `hidden beast` number, since 4 + 2 + 3 + 633 + 7 + 4 + 7 + 6 + 0 = 666.

42363374760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42363374761) 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, 938059 + ... + 982181.

It is an arithmetic number, because the mean of its divisors is an integer number (635385600).

Almost surely, 242363374760 is an apocalyptic number.

42363374760 is a gapful number since it is divisible by the number (40) 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 42363374760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81329356800).

42363374760 is an abundant number, since it is smaller than the sum of its proper divisors (120295338840).

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

42363374760 is a wasteful number, since it uses less digits than its factorization.

42363374760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44277 (or 44267 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 42363374760 in words is "forty-two billion, three hundred sixty-three million, three hundred seventy-four thousand, seven hundred sixty".