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18815190912 = 273273172801
BaseRepresentation
bin10001100001011110…
…010000011110000000
31210120021002201201200
4101201132100132000
5302013142102122
612351002501200
71234154325000
oct214136203600
953507081650
1018815190912
117a85759461
123791204800
131a0b0a197b
14ca6bcc000
15751c315ac
hex461790780

18815190912 has 384 divisors, whose sum is σ = 66878136000. Its totient is φ = 5057740800.

The previous prime is 18815190881. The next prime is 18815190913. The reversal of 18815190912 is 21909151881.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×188151909122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18815190913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6715912 + ... + 6718712.

Almost surely, 218815190912 is an apocalyptic number.

18815190912 is a gapful number since it is divisible by the number (12) 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 18815190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33439068000).

18815190912 is an abundant number, since it is smaller than the sum of its proper divisors (48062945088).

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

18815190912 is a wasteful number, since it uses less digits than its factorization.

18815190912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 18815190912 in words is "eighteen billion, eight hundred fifteen million, one hundred ninety thousand, nine hundred twelve".