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10069518816 = 2532722712633
BaseRepresentation
bin10010110000011000…
…01010100111100000
3221222202120120000100
421120030022213200
5131110244100231
64343104422400
7504350332500
oct113014124740
927882516010
1010069518816
1142a7a87585
121b50317a00
13c4621ac76
146b749ba00
153de0411e6
hex25830a9e0

10069518816 has 216 divisors, whose sum is σ = 33445941984. Its totient is φ = 2865300480.

The previous prime is 10069518773. The next prime is 10069518847. The reversal of 10069518816 is 61881596001.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3823036 + ... + 3825668.

It is an arithmetic number, because the mean of its divisors is an integer number (154842324).

Almost surely, 210069518816 is an apocalyptic number.

10069518816 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 10069518816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722970992).

10069518816 is an abundant number, since it is smaller than the sum of its proper divisors (23376423168).

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

10069518816 is a wasteful number, since it uses less digits than its factorization.

10069518816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10069518816 in words is "ten billion, sixty-nine million, five hundred eighteen thousand, eight hundred sixteen".