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18072916992 = 210351337151
BaseRepresentation
bin10000110101001110…
…101101010000000000
31201122112101022100000
4100311032231100000
5244003131320432
612145205200000
71206602155044
oct206516552000
951575338300
1018072916992
117734766039
123604700000
131920380a30
14c363ac024
1570b9ad57c
hex4353ad400

18072916992 has 528 divisors, whose sum is σ = 60252413312. Its totient is φ = 5374771200.

The previous prime is 18072916969. The next prime is 18072916999. The reversal of 18072916992 is 29961927081.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18072916999) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 119688117 + ... + 119688267.

Almost surely, 218072916992 is an apocalyptic number.

18072916992 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 18072916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126206656).

18072916992 is an abundant number, since it is smaller than the sum of its proper divisors (42179496320).

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

18072916992 is a wasteful number, since it uses less digits than its factorization.

18072916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 18072916992 in words is "eighteen billion, seventy-two million, nine hundred sixteen thousand, nine hundred ninety-two".