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10144329606 = 2324388314843
BaseRepresentation
bin10010111001010011…
…00010111110000110
3222011222100100010100
421130221202332012
5131233422021411
64354340104530
7506246243655
oct113451427606
928158310110
1010144329606
114336233a84
121b71395146
13c588823c8
146c33b319c
153e58bc456
hex25ca62f86

10144329606 has 48 divisors (see below), whose sum is σ = 22517516736. Its totient is φ = 3298842288.

The previous prime is 10144329589. The next prime is 10144329751. The reversal of 10144329606 is 60692344101.

10144329606 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 43 + 2 + 9 + 606 = 666.

10144329606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 676021 + ... + 690863.

It is an arithmetic number, because the mean of its divisors is an integer number (469114932).

Almost surely, 210144329606 is an apocalyptic number.

10144329606 is an abundant number, since it is smaller than the sum of its proper divisors (12373187130).

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

10144329606 is a wasteful number, since it uses less digits than its factorization.

10144329606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10144329606 in words is "ten billion, one hundred forty-four million, three hundred twenty-nine thousand, six hundred six".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 883 1766 2649 5298 7947 14843 15894 29686 37969 44529 75938 89058 113907 133587 227814 267174 341721 638249 683442 1276498 1914747 3829494 5744241 11488482 13106369 26212738 39319107 78638214 117957321 235914642 563573867 1127147734 1690721601 3381443202 5072164803 10144329606