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10899028224 = 283107103
BaseRepresentation
bin10100010011010000…
…11111100100000000
31001010120110000000000
422021220133210000
5134310122400344
65001300000000
7534042132330
oct121150374400
931116400000
1010899028224
114693243247
122142090000
131049033736
147557090c0
1543bc96a69
hex289a1f900

10899028224 has 396 divisors, whose sum is σ = 37656988096. Its totient is φ = 3083774976.

The previous prime is 10899028207. The next prime is 10899028229. The reversal of 10899028224 is 42282099801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10899028224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10899028229) 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 43 ways as a sum of consecutive naturals, for example, 105815757 + ... + 105815859.

Almost surely, 210899028224 is an apocalyptic number.

10899028224 is a gapful number since it is divisible by the number (14) 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 10899028224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828494048).

10899028224 is an abundant number, since it is smaller than the sum of its proper divisors (26757959872).

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

10899028224 is an frugal number, since it uses more digits than its factorization.

10899028224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10899028224 in words is "ten billion, eight hundred ninety-nine million, twenty-eight thousand, two hundred twenty-four".