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10499458368 = 2637191792297
BaseRepresentation
bin10011100011101000…
…10000010101000000
31000002201120202012110
421301310100111000
5133000330131433
64453503455320
7521120631540
oct116164202500
930081522173
1010499458368
1144a8741523
1220502b7540
13cb4312b79
14718617320
15416b6a963
hex271d10540

10499458368 has 224 divisors, whose sum is σ = 33620659200. Its totient is φ = 2824851456.

The previous prime is 10499458363. The next prime is 10499458369. The reversal of 10499458368 is 86385499401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×104994583682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499458363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4569796 + ... + 4572092.

Almost surely, 210499458368 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 10499458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810329600).

10499458368 is an abundant number, since it is smaller than the sum of its proper divisors (23121200832).

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

10499458368 is a wasteful number, since it uses less digits than its factorization.

10499458368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 10499458368 in words is "ten billion, four hundred ninety-nine million, four hundred fifty-eight thousand, three hundred sixty-eight".