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18284136640 = 2657114317257
BaseRepresentation
bin10001000001110100…
…011100100011000000
31202012020211101012221
4101001310130203000
5244421214333030
612222152300424
71215045411550
oct210164344300
952166741187
1018284136640
117832a11530
1236633a1714
131955065a83
14c56471160
157202d1e7a
hex441d1c8c0

18284136640 has 224 divisors, whose sum is σ = 55548117504. Its totient is φ = 5566095360.

The previous prime is 18284136631. The next prime is 18284136641. The reversal of 18284136640 is 4663148281.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (18284136641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050892 + ... + 1068148.

Almost surely, 218284136640 is an apocalyptic number.

18284136640 is a gapful number since it is divisible by the number (10) 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 18284136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27774058752).

18284136640 is an abundant number, since it is smaller than the sum of its proper divisors (37263980864).

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

18284136640 is a wasteful number, since it uses less digits than its factorization.

18284136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 18284136640 in words is "eighteen billion, two hundred eighty-four million, one hundred thirty-six thousand, six hundred forty".