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10242335448 = 2332142254659
BaseRepresentation
bin10011000100111110…
…11010001011011000
3222102210202112212100
421202133122023120
5131434014213243
64412200443400
7511546262202
oct114237321330
928383675770
1010242335448
114386593244
121b9a179560
13c72c78327
146d2405772
153ee2cb0d3
hex2627da2d8

10242335448 has 24 divisors (see below), whose sum is σ = 27739658700. Its totient is φ = 3414111792.

The previous prime is 10242335447. The next prime is 10242335483. The reversal of 10242335448 is 84453324201.

10242335448 is a `hidden beast` number, since 102 + 4 + 2 + 3 + 3 + 544 + 8 = 666.

10242335448 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242335447) 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 5 ways as a sum of consecutive naturals, for example, 71127258 + ... + 71127401.

Almost surely, 210242335448 is an apocalyptic number.

10242335448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10242335448 is an abundant number, since it is smaller than the sum of its proper divisors (17497323252).

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

10242335448 is a wasteful number, since it uses less digits than its factorization.

10242335448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142254671 (or 142254664 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10242335448 its reverse (84453324201), we get a palindrome (94695659649).

The spelling of 10242335448 in words is "ten billion, two hundred forty-two million, three hundred thirty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 142254659 284509318 426763977 569018636 853527954 1138037272 1280291931 1707055908 2560583862 3414111816 5121167724 10242335448