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18013911552 = 2932721317192
BaseRepresentation
bin10000110001101101…
…100111101000000000
31201111102100112002100
4100301231213220000
5243343030132202
612135300350400
71205254502400
oct206155475000
951442315070
1018013911552
11770442440a
1235a89a5400
131911091680
14c2c60c800
1570670541c
hex431b67a00

18013911552 has 1080 divisors, whose sum is σ = 72781224516. Its totient is φ = 4236115968.

The previous prime is 18013911547. The next prime is 18013911593. The reversal of 18013911552 is 25511931081.

18013911552 is a `hidden beast` number, since 1 + 8 + 0 + 13 + 91 + 1 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17973156096 + 40755456 = 134064^2 + 6384^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 948100599 + ... + 948100617.

Almost surely, 218013911552 is an apocalyptic number.

18013911552 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 18013911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390612258).

18013911552 is an abundant number, since it is smaller than the sum of its proper divisors (54767312964).

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

18013911552 is a wasteful number, since it uses less digits than its factorization.

18013911552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 18013911552 in words is "eighteen billion, thirteen million, nine hundred eleven thousand, five hundred fifty-two".