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10381318080 = 26357412919
BaseRepresentation
bin10011010101100011…
…00101011111000000
3222210111021121012020
421222301211133000
5132230104134310
64434043401440
7515154514320
oct115261453700
928714247166
1010381318080
114447a8aa21
122018823280
13c959ba583
14706a63280
1540b5d1170
hex26ac657c0

10381318080 has 336 divisors, whose sum is σ = 38652541440. Its totient is φ = 2312478720.

The previous prime is 10381318061. The next prime is 10381318081. The reversal of 10381318080 is 8081318301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381318081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11295861 + ... + 11296779.

Almost surely, 210381318080 is an apocalyptic number.

10381318080 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 10381318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326270720).

10381318080 is an abundant number, since it is smaller than the sum of its proper divisors (28271223360).

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

10381318080 is an equidigital number, since it uses as much as digits as its factorization.

10381318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10381318080 in words is "ten billion, three hundred eighty-one million, three hundred eighteen thousand, eighty".