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10499886144 = 26361141499
BaseRepresentation
bin10011100011101011…
…11000110001000000
31000002202101111000000
421301311320301000
5133000432324034
64453521000000
7521124362646
oct116165706100
930082344000
1010499886144
1144a8a03960
122050483000
13cb44327a7
147186c9196
15416c02599
hex271d78c40

10499886144 has 392 divisors, whose sum is σ = 34980372000. Its totient is φ = 3097958400.

The previous prime is 10499886121. The next prime is 10499886181. The reversal of 10499886144 is 44168899401.

It is a happy number.

10499886144 is a `hidden beast` number, since 1 + 0 + 499 + 8 + 8 + 6 + 144 = 666.

It is a super-2 number, since 2×104998861442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21041607 + ... + 21042105.

Almost surely, 210499886144 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 10499886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17490186000).

10499886144 is an abundant number, since it is smaller than the sum of its proper divisors (24480485856).

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

10499886144 is an equidigital number, since it uses as much as digits as its factorization.

10499886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10499886144 in words is "ten billion, four hundred ninety-nine million, eight hundred eighty-six thousand, one hundred forty-four".