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10638475848 = 2335721121371
BaseRepresentation
bin10011110100001101…
…00100001001001000
31000110102011120100000
421322012210021020
5133241422211343
64515351243000
7524426360400
oct117206441110
930412146300
1010638475848
11456a162400
12208a979460
131007067c30
1472cc83800
15423e7aed3
hex27a1a4248

10638475848 has 864 divisors, whose sum is σ = 41723398080. Its totient is φ = 2514758400.

The previous prime is 10638475847. The next prime is 10638475889. The reversal of 10638475848 is 84857483601.

10638475848 is a `hidden beast` number, since 10 + 6 + 3 + 8 + 47 + 584 + 8 = 666.

It is a super-2 number, since 2×106384758482 (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 junction number, because it is equal to n+sod(n) for n = 10638475794 and 10638475803.

It is not an unprimeable number, because it can be changed into a prime (10638475847) 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 215 ways as a sum of consecutive naturals, for example, 149837653 + ... + 149837723.

It is an arithmetic number, because the mean of its divisors is an integer number (48290970).

Almost surely, 210638475848 is an apocalyptic number.

10638475848 is a gapful number since it is divisible by the number (18) 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 10638475848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861699040).

10638475848 is an abundant number, since it is smaller than the sum of its proper divisors (31084922232).

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

10638475848 is a wasteful number, since it uses less digits than its factorization.

10638475848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10638475848 in words is "ten billion, six hundred thirty-eight million, four hundred seventy-five thousand, eight hundred forty-eight".