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10429614126 = 2321471739371
BaseRepresentation
bin10011011011010011…
…10100100000101110
3222220212011021220200
421231221310200232
5132324440123001
64442530454330
7516312154161
oct115551644056
928825137820
1010429614126
114472277508
122030a343a6
13ca29ca209
1470d235ad8
15410971086
hex26da7482e

10429614126 has 24 divisors (see below), whose sum is σ = 22599606744. Its totient is φ = 3476213520.

The previous prime is 10429614119. The next prime is 10429614127. The reversal of 10429614126 is 62141692401.

10429614126 is a `hidden beast` number, since 1 + 0 + 4 + 29 + 614 + 12 + 6 = 666.

10429614126 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429614127) 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, 245221 + ... + 284591.

It is an arithmetic number, because the mean of its divisors is an integer number (941650281).

Almost surely, 210429614126 is an apocalyptic number.

10429614126 is an abundant number, since it is smaller than the sum of its proper divisors (12169992618).

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

10429614126 is a wasteful number, since it uses less digits than its factorization.

10429614126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54096 (or 54093 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10429614126 in words is "ten billion, four hundred twenty-nine million, six hundred fourteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 14717 29434 39371 44151 78742 88302 118113 132453 236226 264906 354339 708678 579423007 1158846014 1738269021 3476538042 5214807063 10429614126