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10491286848 = 2637192931457
BaseRepresentation
bin10011100010101010…
…00101010101000000
31000002011012120222120
421301111011111000
5132441232134343
64453012404240
7520661316060
oct116125052500
930064176876
1010491286848
1144a40700a9
122049616680
13cb2711653
147174cb3a0
154160a4683
hex271545540

10491286848 has 448 divisors, whose sum is σ = 35737190400. Its totient is φ = 2647572480.

The previous prime is 10491286847. The next prime is 10491286903. The reversal of 10491286848 is 84868219401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×104912868482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10491286848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10491286847) 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 63 ways as a sum of consecutive naturals, for example, 22956636 + ... + 22957092.

Almost surely, 210491286848 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 10491286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868595200).

10491286848 is an abundant number, since it is smaller than the sum of its proper divisors (25245903552).

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

10491286848 is a wasteful number, since it uses less digits than its factorization.

10491286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 10491286848 in words is "ten billion, four hundred ninety-one million, two hundred eighty-six thousand, eight hundred forty-eight".