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42745391808 = 2637236122669
BaseRepresentation
bin100111110011110100…
…101110101011000000
311002022222222220001120
4213303310232223000
51200020310014213
631345330032240
73042161556360
oct476364565300
9132288886046
1042745391808
1117145728599
12834b418680
134052a9ca62
1420d70589a0
1511a2a36423
hex9f3d2eac0

42745391808 has 224 divisors, whose sum is σ = 137090749440. Its totient is φ = 11489955840.

The previous prime is 42745391803. The next prime is 42745391809. The reversal of 42745391808 is 80819354724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (42745391803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874298 + ... + 1896966.

Almost surely, 242745391808 is an apocalyptic number.

42745391808 is a gapful number since it is divisible by the number (48) 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 42745391808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68545374720).

42745391808 is an abundant number, since it is smaller than the sum of its proper divisors (94345357632).

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

42745391808 is a wasteful number, since it uses less digits than its factorization.

42745391808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22775 (or 22765 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 42745391808 in words is "forty-two billion, seven hundred forty-five million, three hundred ninety-one thousand, eight hundred eight".