Search a number
-
+
10429444532 = 2213569352489
BaseRepresentation
bin10011011011010010…
…01011000110110100
3222220211211200021102
421231221023012310
5132324414211112
64442523105232
7516310546553
oct115551130664
928824750242
1010429444532
114472171051
122030972218
13ca296ac70
1470d1cdd9a
1541093abc2
hex26da4b1b4

10429444532 has 24 divisors (see below), whose sum is σ = 19690091400. Its totient is φ = 4805116416.

The previous prime is 10429444511. The next prime is 10429444537. The reversal of 10429444532 is 23544492401.

It is a happy number.

10429444532 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 4 ways, for example, as 1098657316 + 9330787216 = 33146^2 + 96596^2 .

It is a super-3 number, since 3×104294445323 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429444537) 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 7 ways as a sum of consecutive naturals, for example, 146657 + ... + 205832.

It is an arithmetic number, because the mean of its divisors is an integer number (820420475).

Almost surely, 210429444532 is an apocalyptic number.

It is an amenable number.

10429444532 is a deficient number, since it is larger than the sum of its proper divisors (9260646868).

10429444532 is a wasteful number, since it uses less digits than its factorization.

10429444532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353075 (or 353073 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 10429444532 in words is "ten billion, four hundred twenty-nine million, four hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 4 13 26 52 569 1138 2276 7397 14794 29588 352489 704978 1409956 4582357 9164714 18329428 200566241 401132482 802264964 2607361133 5214722266 10429444532