Search a number
-
+
10424505252 = 2237142387211
BaseRepresentation
bin10011011010101100…
…10101001110100100
3222220111112201212010
421231112111032210
5132322133132002
64442225154220
7516220555410
oct115526251644
928814481763
1010424505252
11446a3a80a7
12202b18b970
13ca192ba05
1470c6a5d40
154102b246c
hex26d5953a4

10424505252 has 48 divisors (see below), whose sum is σ = 27818534912. Its totient is φ = 2976302880.

The previous prime is 10424505251. The next prime is 10424505263. The reversal of 10424505252 is 25250542401.

10424505252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10424505251) 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 15 ways as a sum of consecutive naturals, for example, 75927 + ... + 163137.

Almost surely, 210424505252 is an apocalyptic number.

10424505252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10424505252 is an abundant number, since it is smaller than the sum of its proper divisors (17394029660).

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

10424505252 is a wasteful number, since it uses less digits than its factorization.

10424505252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88648 (or 88646 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 10424505252 in words is "ten billion, four hundred twenty-four million, five hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1423 2846 4269 5692 8538 9961 17076 19922 29883 39844 59766 87211 119532 174422 261633 348844 523266 610477 1046532 1220954 1831431 2441908 3662862 7325724 124101253 248202506 372303759 496405012 744607518 868708771 1489215036 1737417542 2606126313 3474835084 5212252626 10424505252