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10110684992 = 261710192009
BaseRepresentation
bin10010110101010010…
…01100111101000000
3222002122001000101112
421122221030331000
5131201313404432
64351135022452
7505360255502
oct113251147500
928078030345
1010110684992
114319244311
121b6206aa28
13c51902555
146bcb35d72
153e29737b2
hex25aa4cf40

10110684992 has 56 divisors (see below), whose sum is σ = 21454155720. Its totient is φ = 4710809600.

The previous prime is 10110684989. The next prime is 10110685001. The reversal of 10110684992 is 29948601101.

It can be written as a sum of positive squares in 4 ways, for example, as 5107103296 + 5003581696 = 71464^2 + 70736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63884 + ... + 155892.

Almost surely, 210110684992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727077860).

10110684992 is an abundant number, since it is smaller than the sum of its proper divisors (11343470728).

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

10110684992 is a wasteful number, since it uses less digits than its factorization.

10110684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92139 (or 92129 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 10110684992 in words is "ten billion, one hundred ten million, six hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 13736 27472 54944 92009 109888 184018 368036 736072 1472144 1564153 2944288 3128306 5888576 6256612 9292909 12513224 18585818 25026448 37171636 50052896 74343272 100105792 148686544 157979453 297373088 315958906 594746176 631917812 1263835624 2527671248 5055342496 10110684992