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42292647936 = 211347211243
BaseRepresentation
bin100111011000110101…
…101001100000000000
311001011110002010020000
4213120311221200000
51143103404213221
631232354120000
73025023401400
oct473065514000
9131143063200
1042292647936
1116a33108400
128243880000
133cb0052186
142092c84800
151177e04e26
hex9d8d69800

42292647936 has 1080 divisors, whose sum is σ = 165279294180. Its totient is φ = 10729635840.

The previous prime is 42292647851. The next prime is 42292647961. The reversal of 42292647936 is 63974629224.

42292647936 is a `hidden beast` number, since 422 + 92 + 6 + 47 + 93 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 983549931 + ... + 983549973.

Almost surely, 242292647936 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 42292647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82639647090).

42292647936 is an abundant number, since it is smaller than the sum of its proper divisors (122986646244).

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

42292647936 is a wasteful number, since it uses less digits than its factorization.

42292647936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 42292647936 in words is "forty-two billion, two hundred ninety-two million, six hundred forty-seven thousand, nine hundred thirty-six".