Search a number
-
+
10005355422 = 232555853079
BaseRepresentation
bin10010101000101110…
…11001101110011110
3221211021211201101100
421110113121232132
5130442332333142
64332453253530
7502641055266
oct112427315636
927737751340
1010005355422
114274842687
121b329342a6
13c35b43c6a
146acb587a6
153d85b9b4c
hex2545d9b9e

10005355422 has 12 divisors (see below), whose sum is σ = 21678270120. Its totient is φ = 3335118468.

The previous prime is 10005355417. The next prime is 10005355427. The reversal of 10005355422 is 22455350001.

It is a happy number.

10005355422 is a `hidden beast` number, since 100 + 0 + 5 + 3 + 554 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10005355417) and next prime (10005355427).

It is a super-4 number, since 4×100053554224 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005355427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277926522 + ... + 277926557.

It is an arithmetic number, because the mean of its divisors is an integer number (1806522510).

Almost surely, 210005355422 is an apocalyptic number.

10005355422 is an abundant number, since it is smaller than the sum of its proper divisors (11672914698).

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

10005355422 is a wasteful number, since it uses less digits than its factorization.

10005355422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555853087 (or 555853084 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10005355422 in words is "ten billion, five million, three hundred fifty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 555853079 1111706158 1667559237 3335118474 5002677711 10005355422