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10242436626 = 232709802573
BaseRepresentation
bin10011000100111111…
…10010111000010010
3222102210221200122200
421202133302320102
5131434030433001
64412202544030
7511550163162
oct114237627022
928383850580
1010242436626
114386652264
121b9a208016
13c72cb23b6
146d24305a2
153ee2eb086
hex2627f2e12

10242436626 has 24 divisors (see below), whose sum is σ = 22223274060. Its totient is φ = 3409325856.

The previous prime is 10242436621. The next prime is 10242436637. The reversal of 10242436626 is 62663424201.

10242436626 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 24 + 3 + 6 + 626 = 666.

10242436626 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 10241237601 + 1199025 = 101199^2 + 1095^2 .

It is not an unprimeable number, because it can be changed into a prime (10242436621) 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 11 ways as a sum of consecutive naturals, for example, 388525 + ... + 414048.

Almost surely, 210242436626 is an apocalyptic number.

10242436626 is an abundant number, since it is smaller than the sum of its proper divisors (11980837434).

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

10242436626 is a wasteful number, since it uses less digits than its factorization.

10242436626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803290 (or 803287 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10242436626 in words is "ten billion, two hundred forty-two million, four hundred thirty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 709 1418 2127 4254 6381 12762 802573 1605146 2407719 4815438 7223157 14446314 569024257 1138048514 1707072771 3414145542 5121218313 10242436626