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18879299712 = 2732713732467
BaseRepresentation
bin10001100101010010…
…110100000010000000
31210201201201210110200
4101211102310002000
5302131100042322
612401212525200
71235563254060
oct214522640200
953651653420
1018879299712
118008966339
1237aa780800
131a1b459b80
14cb15193a0
157576968ac
hex4654b4080

18879299712 has 384 divisors, whose sum is σ = 67807608960. Its totient is φ = 4908957696.

The previous prime is 18879299693. The next prime is 18879299723. The reversal of 18879299712 is 21799297881.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18879299712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7651503 + ... + 7653969.

It is an arithmetic number, because the mean of its divisors is an integer number (176582315).

Almost surely, 218879299712 is an apocalyptic number.

18879299712 is a gapful number since it is divisible by the number (12) 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 18879299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33903804480).

18879299712 is an abundant number, since it is smaller than the sum of its proper divisors (48928309248).

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

18879299712 is a wasteful number, since it uses less digits than its factorization.

18879299712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2565 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 63.

The spelling of 18879299712 in words is "eighteen billion, eight hundred seventy-nine million, two hundred ninety-nine thousand, seven hundred twelve".