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10924465296 = 2432343322853
BaseRepresentation
bin10100010110010011…
…00001110010010000
31001012100022100002210
422023021201302100
5134333130342141
65004005112120
7534501265023
oct121311416220
931170270083
1010924465296
1146a6637518
12214a6b8640
13105139b864
14758c4b1ba
1543e11d916
hex28b261c90

10924465296 has 80 divisors (see below), whose sum is σ = 29517860736. Its totient is φ = 3474966528.

The previous prime is 10924465259. The next prime is 10924465297. The reversal of 10924465296 is 69256442901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10924465297) 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 15 ways as a sum of consecutive naturals, for example, 466606 + ... + 489458.

Almost surely, 210924465296 is an apocalyptic number.

10924465296 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 10924465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758930368).

10924465296 is an abundant number, since it is smaller than the sum of its proper divisors (18593395440).

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

10924465296 is a wasteful number, since it uses less digits than its factorization.

10924465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23320 (or 23314 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 10924465296 in words is "ten billion, nine hundred twenty-four million, four hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 433 552 866 1104 1299 1732 2598 3464 5196 6928 9959 10392 19918 20784 22853 29877 39836 45706 59754 68559 79672 91412 119508 137118 159344 182824 239016 274236 365648 478032 525619 548472 1051238 1096944 1576857 2102476 3153714 4204952 6307428 8409904 9895349 12614856 19790698 25229712 29686047 39581396 59372094 79162792 118744188 158325584 227593027 237488376 455186054 474976752 682779081 910372108 1365558162 1820744216 2731116324 3641488432 5462232648 10924465296