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42757696512 = 21032291571019
BaseRepresentation
bin100111110100100011…
…101010110000000000
311002100212011000221100
4213310203222300000
51200031432242022
631350445454400
73042401265216
oct476443526000
9132325130840
1042757696512
1117151672273
128353571400
1340554ba64b
1420d893ccb6
1511a3b671ac
hex9f48eac00

42757696512 has 264 divisors, whose sum is σ = 128658862800. Its totient is φ = 13660028928.

The previous prime is 42757696493. The next prime is 42757696547. The reversal of 42757696512 is 21569675724.

It is a happy number.

42757696512 is a `hidden beast` number, since 4 + 2 + 7 + 576 + 9 + 65 + 1 + 2 = 666.

It is a super-2 number, since 2×427576965122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41959939 + ... + 41960957.

Almost surely, 242757696512 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 42757696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64329431400).

42757696512 is an abundant number, since it is smaller than the sum of its proper divisors (85901166288).

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

42757696512 is a wasteful number, since it uses less digits than its factorization.

42757696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1210 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 42757696512 in words is "forty-two billion, seven hundred fifty-seven million, six hundred ninety-six thousand, five hundred twelve".