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18849942000 = 2433532912037
BaseRepresentation
bin10001100011100010…
…110100100111110000
31210122200111021021000
4101203202310213300
5302101041121000
612354243402000
71235055602061
oct214342644760
953580437230
1018849942000
117aa333446a
1237a0983300
131a1534b346
14cab676568
15754ce8000
hex4638b49f0

18849942000 has 320 divisors, whose sum is σ = 69858921600. Its totient is φ = 4852915200.

The previous prime is 18849941987. The next prime is 18849942043. The reversal of 18849942000 is 24994881.

18849942000 is a `hidden beast` number, since 188 + 49 + 9 + 420 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1559982 + ... + 1572018.

It is an arithmetic number, because the mean of its divisors is an integer number (218309130).

Almost surely, 218849942000 is an apocalyptic number.

18849942000 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 18849942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34929460800).

18849942000 is an abundant number, since it is smaller than the sum of its proper divisors (51008979600).

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

18849942000 is a wasteful number, since it uses less digits than its factorization.

18849942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12098 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18849942000 in words is "eighteen billion, eight hundred forty-nine million, nine hundred forty-two thousand".