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18804739680 = 253554331117
BaseRepresentation
bin10001100000110110…
…011000111001100000
31210112112102202100000
4101200312120321200
5302003003132210
612345550500000
71233666435636
oct214066307140
953475382300
1018804739680
117a7a870281
123789804600
131a08b828cc
14ca566b356
15750d69ac0
hex460d98e60

18804739680 has 288 divisors, whose sum is σ = 66761289504. Its totient is φ = 4998537216.

The previous prime is 18804739633. The next prime is 18804739691. The reversal of 18804739680 is 8693740881.

18804739680 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 473 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16834482 + ... + 16835598.

It is an arithmetic number, because the mean of its divisors is an integer number (231810033).

Almost surely, 218804739680 is an apocalyptic number.

18804739680 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 18804739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33380644752).

18804739680 is an abundant number, since it is smaller than the sum of its proper divisors (47956549824).

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

18804739680 is a wasteful number, since it uses less digits than its factorization.

18804739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18804739680 in words is "eighteen billion, eight hundred four million, seven hundred thirty-nine thousand, six hundred eighty".