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10247838048 = 2532722331573
BaseRepresentation
bin10011000101101000…
…11001100101100000
3222110012010010000100
421202310121211200
5131441421304143
64412514422400
7511644120600
oct114264314540
928405103010
1010247838048
114389701448
121b9bb91a00
13c74153ac6
146d3038c00
153eea166d3
hex262d19960

10247838048 has 216 divisors, whose sum is σ = 35375257008. Its totient is φ = 2800562688.

The previous prime is 10247838023. The next prime is 10247838059. The reversal of 10247838048 is 84083874201.

10247838048 is a `hidden beast` number, since 102 + 478 + 38 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10247837994 and 10247838012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308790 + ... + 340362.

It is an arithmetic number, because the mean of its divisors is an integer number (163774338).

Almost surely, 210247838048 is an apocalyptic number.

10247838048 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 10247838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687628504).

10247838048 is an abundant number, since it is smaller than the sum of its proper divisors (25127418960).

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

10247838048 is a wasteful number, since it uses less digits than its factorization.

10247838048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31626 (or 31608 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10247838048 in words is "ten billion, two hundred forty-seven million, eight hundred thirty-eight thousand, forty-eight".