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42930091008 = 2103272328933
BaseRepresentation
bin100111111110110101…
…010011010000000000
311002210212112120201200
4213332311103100000
51200410100403013
631415524501200
73046563516120
oct477665232000
9132725476650
1042930091008
111722aa0a862
1283a124a800
13408212a81c
1421137b6c80
1511b3d6be73
hex9fed53400

42930091008 has 264 divisors, whose sum is σ = 147832833408. Its totient is φ = 11732041728.

The previous prime is 42930091003. The next prime is 42930091013. The reversal of 42930091008 is 80019003924.

It is an interprime number because it is at equal distance from previous prime (42930091003) and next prime (42930091013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42930091003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469310 + ... + 1498242.

Almost surely, 242930091008 is an apocalyptic number.

42930091008 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 42930091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73916416704).

42930091008 is an abundant number, since it is smaller than the sum of its proper divisors (104902742400).

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

42930091008 is a wasteful number, since it uses less digits than its factorization.

42930091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989 (or 28968 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 42930091008 in words is "forty-two billion, nine hundred thirty million, ninety-one thousand, eight".