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10412224004 = 2271382334757
BaseRepresentation
bin10011011001001110…
…11110111000000100
3222212122102210011002
421230213132320010
5132311012132004
64441110032432
7516011305130
oct115447367004
928778383132
1010412224004
11446347a006
122027048718
13c9c21b9c0
1470abca3c0
1540e18861e
hex26c9dee04

10412224004 has 48 divisors (see below), whose sum is σ = 22454224128. Its totient is φ = 4113998208.

The previous prime is 10412223989. The next prime is 10412224033. The reversal of 10412224004 is 40042221401.

10412224004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 282194 + ... + 316950.

It is an arithmetic number, because the mean of its divisors is an integer number (467796336).

Almost surely, 210412224004 is an apocalyptic number.

10412224004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10412224004 is an abundant number, since it is smaller than the sum of its proper divisors (12042000124).

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

10412224004 is a wasteful number, since it uses less digits than its factorization.

10412224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35604 (or 35602 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10412224004 its reverse (40042221401), we get a palindrome (50454445405).

The spelling of 10412224004 in words is "ten billion, four hundred twelve million, two hundred twenty-four thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 823 1646 3292 5761 10699 11522 21398 23044 34757 42796 69514 74893 139028 149786 243299 299572 451841 486598 903682 973196 1807364 3162887 6325774 12651548 28605011 57210022 114420044 200235077 371865143 400470154 743730286 800940308 1487460572 2603056001 5206112002 10412224004