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42663034512 = 24327238322171
BaseRepresentation
bin100111101110111010…
…100011111010010000
311002010021000201002100
4213232322203322100
51144333214101022
631333224520400
73040141544550
oct475672437220
9132107021070
1042663034512
111710319730a
128327920100
13403b9c5727
1420ca13b160
15119a6b91ac
hex9eeea3e90

42663034512 has 240 divisors, whose sum is σ = 144108776448. Its totient is φ = 11518467840.

The previous prime is 42663034493. The next prime is 42663034517. The reversal of 42663034512 is 21543036624.

42663034512 is a `hidden beast` number, since 4 + 2 + 6 + 630 + 3 + 4 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42663034517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913187 + ... + 1935357.

Almost surely, 242663034512 is an apocalyptic number.

42663034512 is a gapful number since it is divisible by the number (42) 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 42663034512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72054388224).

42663034512 is an abundant number, since it is smaller than the sum of its proper divisors (101445741936).

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

42663034512 is a wasteful number, since it uses less digits than its factorization.

42663034512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22298 (or 22289 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42663034512 in words is "forty-two billion, six hundred sixty-three million, thirty-four thousand, five hundred twelve".