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42996341916 = 223411193172003
BaseRepresentation
bin101000000010110010…
…000001110010011100
311002222111012110220000
4220002302001302130
51201024030420131
631430252454300
73051326606343
oct500262016234
9132874173800
1042996341916
1117264350080
1283bb47a390
134092a85a48
14211c500b5a
1511b9aa6ce6
hexa02c81c9c

42996341916 has 240 divisors, whose sum is σ = 129544652160. Its totient is φ = 12298366080.

The previous prime is 42996341909. The next prime is 42996341959. The reversal of 42996341916 is 61914369924.

It is a happy number.

42996341916 is a `hidden beast` number, since 4 + 299 + 6 + 341 + 9 + 1 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21464971 + ... + 21466973.

It is an arithmetic number, because the mean of its divisors is an integer number (539769384).

Almost surely, 242996341916 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 42996341916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64772326080).

42996341916 is an abundant number, since it is smaller than the sum of its proper divisors (86548310244).

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

42996341916 is a wasteful number, since it uses less digits than its factorization.

42996341916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2355 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 42996341916 in words is "forty-two billion, nine hundred ninety-six million, three hundred forty-one thousand, nine hundred sixteen".