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20181934080 = 21334571179
BaseRepresentation
bin10010110010111011…
…111110000000000000
31221002111212110220000
4102302323332000000
5312313033342310
613134344520000
71313061415650
oct226273760000
957074773800
1020181934080
1186171a2870
123ab2a80000
131b982a7c39
14d96524360
157d1c074c0
hex4b2efe000

20181934080 has 1120 divisors, whose sum is σ = 91346365440. Its totient is φ = 4140564480.

The previous prime is 20181934063. The next prime is 20181934117. The reversal of 20181934080 is 8043918102.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255467481 + ... + 255467559.

Almost surely, 220181934080 is an apocalyptic number.

20181934080 is a gapful number since it is divisible by the number (20) 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 20181934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45673182720).

20181934080 is an abundant number, since it is smaller than the sum of its proper divisors (71164431360).

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

20181934080 is an equidigital number, since it uses as much as digits as its factorization.

20181934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20181934080 in words is "twenty billion, one hundred eighty-one million, nine hundred thirty-four thousand, eighty".