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18145354752 = 210337295361
BaseRepresentation
bin10000111001100011…
…000010010000000000
31201211120200112021000
4100321203002100000
5244130202323002
612200313532000
71211441653620
oct207143022000
951746615230
1018145354752
117771641658
123624a14000
131932394005
14c41c66880
1571301b61c
hex4398c2400

18145354752 has 704 divisors, whose sum is σ = 65792217600. Its totient is φ = 4830658560.

The previous prime is 18145354739. The next prime is 18145354769. The reversal of 18145354752 is 25745354181.

18145354752 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 53 + 547 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18145354698 and 18145354707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297464802 + ... + 297464862.

Almost surely, 218145354752 is an apocalyptic number.

18145354752 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 18145354752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32896108800).

18145354752 is an abundant number, since it is smaller than the sum of its proper divisors (47646862848).

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

18145354752 is a wasteful number, since it uses less digits than its factorization.

18145354752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 18145354752 in words is "eighteen billion, one hundred forty-five million, three hundred fifty-four thousand, seven hundred fifty-two".