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10248500048 = 241737678309
BaseRepresentation
bin10011000101101101…
…11011001101010000
3222110020100202002212
421202312323031100
5131442104000143
64412540531252
7511652545613
oct114266731520
928406322085
1010248500048
11438a013856
121ba0250b28
13c74326217
146d316c17a
153eeae7918
hex262dbb350

10248500048 has 20 divisors (see below), whose sum is σ = 21024496980. Its totient is φ = 4822823424.

The previous prime is 10248500047. The next prime is 10248500081. The reversal of 10248500048 is 84000584201.

It is a happy number.

10248500048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7795477264 + 2453022784 = 88292^2 + 49528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10248499987 and 10248500023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248500047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18838883 + ... + 18839426.

It is an arithmetic number, because the mean of its divisors is an integer number (1051224849).

Almost surely, 210248500048 is an apocalyptic number.

It is an amenable number.

10248500048 is an abundant number, since it is smaller than the sum of its proper divisors (10775996932).

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

10248500048 is a wasteful number, since it uses less digits than its factorization.

10248500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37678334 (or 37678328 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 10248500048 in words is "ten billion, two hundred forty-eight million, five hundred thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 37678309 75356618 150713236 301426472 602852944 640531253 1281062506 2562125012 5124250024 10248500048