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18941469624 = 23347114147197
BaseRepresentation
bin10001101000111111…
…111110001110111000
31210220001201100120000
4101220333332032320
5302243004011444
612411313233000
71240246556340
oct215077761670
953801640500
1018941469624
11803aa69530
123807562760
131a2b2b66bc
14cb989dd20
1575cd77469
hex468ffe3b8

18941469624 has 640 divisors, whose sum is σ = 69551032320. Its totient is φ = 4673894400.

The previous prime is 18941469529. The next prime is 18941469637. The reversal of 18941469624 is 42696414981.

18941469624 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 1 + 4 + 6 + 9 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96149494 + ... + 96149690.

It is an arithmetic number, because the mean of its divisors is an integer number (108673488).

Almost surely, 218941469624 is an apocalyptic number.

18941469624 is a gapful number since it is divisible by the number (14) 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 18941469624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34775516160).

18941469624 is an abundant number, since it is smaller than the sum of its proper divisors (50609562696).

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

18941469624 is a wasteful number, since it uses less digits than its factorization.

18941469624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 18941469624 in words is "eighteen billion, nine hundred forty-one million, four hundred sixty-nine thousand, six hundred twenty-four".