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18932048640 = 283251796671
BaseRepresentation
bin10001101000011100…
…000010001100000000
31210212101222201101200
4101220130002030000
5302233101024030
612410335301200
71240103521041
oct215034021400
953771881350
1018932048640
11803571439a
12380437a800
131a2936855b
14cb852a8c8
1575c115d60
hex468702300

18932048640 has 216 divisors, whose sum is σ = 69356746368. Its totient is φ = 4751523840.

The previous prime is 18932048599. The next prime is 18932048651. The reversal of 18932048640 is 4684023981.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147505 + ... + 244175.

It is an arithmetic number, because the mean of its divisors is an integer number (321096048).

Almost surely, 218932048640 is an apocalyptic number.

18932048640 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 18932048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34678373184).

18932048640 is an abundant number, since it is smaller than the sum of its proper divisors (50424697728).

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

18932048640 is a wasteful number, since it uses less digits than its factorization.

18932048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96715 (or 96698 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18932048640 in words is "eighteen billion, nine hundred thirty-two million, forty-eight thousand, six hundred forty".