Search a number
-
+
10506543356 = 224725155589
BaseRepresentation
bin10011100100011110…
…10010000011111100
31000010012220200222102
421302033102003330
5133004133341411
64454315404232
7521235100511
oct116217220374
930105820872
1010506543356
114501740591
122052753678
13cb592397a
1471953d308
154175b9d3b
hex2723d20fc

10506543356 has 12 divisors (see below), whose sum is σ = 18387170760. Its totient is φ = 5253066000.

The previous prime is 10506543353. The next prime is 10506543389. The reversal of 10506543356 is 65334560501.

10506543356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105065433562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506543353) 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 3 ways as a sum of consecutive naturals, for example, 161210 + ... + 216798.

It is an arithmetic number, because the mean of its divisors is an integer number (1532264230).

Almost surely, 210506543356 is an apocalyptic number.

It is an amenable number.

10506543356 is a deficient number, since it is larger than the sum of its proper divisors (7880627404).

10506543356 is a wasteful number, since it uses less digits than its factorization.

10506543356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102844 (or 102842 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 10506543356 in words is "ten billion, five hundred six million, five hundred forty-three thousand, three hundred fifty-six".

Divisors: 1 2 4 47251 55589 94502 111178 189004 222356 2626635839 5253271678 10506543356