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10491848640 = 2632573131943
BaseRepresentation
bin10011100010101110…
…01110011111000000
31000002012021010121200
421301113032133000
5132441403124030
64453032421200
7520666146000
oct116127163700
930065233550
1010491848640
1144a4414199
122049847800
13cb287a280
147175d6000
15416165d60
hex2715ce7c0

10491848640 has 1344 divisors, whose sum is σ = 48816768000. Its totient is φ = 2048385024.

The previous prime is 10491848629. The next prime is 10491848671. The reversal of 10491848640 is 4684819401.

10491848640 is a `hidden beast` number, since 1 + 0 + 491 + 84 + 86 + 4 + 0 = 666.

10491848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×104918486402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243996459 + ... + 243996501.

It is an arithmetic number, because the mean of its divisors is an integer number (36322000).

Almost surely, 210491848640 is an apocalyptic number.

10491848640 is a gapful number since it is divisible by the number (10) 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 10491848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408384000).

10491848640 is an abundant number, since it is smaller than the sum of its proper divisors (38324919360).

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

10491848640 is a wasteful number, since it uses less digits than its factorization.

10491848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10491848640 in words is "ten billion, four hundred ninety-one million, eight hundred forty-eight thousand, six hundred forty".