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18113283072 = 210331929241
BaseRepresentation
bin10000110111101000…
…101100010000000000
31201202100100010012000
4100313220230100000
5244044000024242
612153210304000
71210602236313
oct206750542000
951670303160
1018113283072
117755526735
123616128000
1319288450a1
14c3b8b897a
157102d3a4c
hex437a2c400

18113283072 has 528 divisors, whose sum is σ = 59906683200. Its totient is φ = 5388042240.

The previous prime is 18113283059. The next prime is 18113283079. The reversal of 18113283072 is 27038231181.

18113283072 is a `hidden beast` number, since 18 + 11 + 328 + 307 + 2 = 666.

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 (18113283079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441787372 + ... + 441787412.

Almost surely, 218113283072 is an apocalyptic number.

18113283072 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 18113283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29953341600).

18113283072 is an abundant number, since it is smaller than the sum of its proper divisors (41793400128).

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

18113283072 is a wasteful number, since it uses less digits than its factorization.

18113283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18113283072 in words is "eighteen billion, one hundred thirteen million, two hundred eighty-three thousand, seventy-two".