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10391894016 = 21137475397
BaseRepresentation
bin10011010110110011…
…11011100000000000
3222211020011220122120
421223121323200000
5132240311102031
64435102204240
7515343433050
oct115331734000
928736156576
1010391894016
114452a53869
122020283680
13c97c5131a
14708217560
1540c4bea96
hex26b67b800

10391894016 has 384 divisors, whose sum is σ = 33286256640. Its totient is φ = 2821718016.

The previous prime is 10391894003. The next prime is 10391894021. The reversal of 10391894016 is 61049819301.

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

It is a super-2 number, since 2×103918940162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107132880 + ... + 107132976.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 210391894016 is an apocalyptic number.

10391894016 is a gapful number since it is divisible by the number (16) 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 10391894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

10391894016 is an abundant number, since it is smaller than the sum of its proper divisors (22894362624).

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

10391894016 is an equidigital number, since it uses as much as digits as its factorization.

10391894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 10391894016 in words is "ten billion, three hundred ninety-one million, eight hundred ninety-four thousand, sixteen".