Search a number
-
+
10505646361 = 71500806623
BaseRepresentation
bin10011100100010111…
…10111000100011001
31000010011020010112101
421302023313010121
5133003421140421
64454244243401
7521224343410
oct116213670431
930104203471
1010505646361
114501188671
1220523a0561
13cb569b5c2
14719388477
1541748e191
hex2722f7119

10505646361 has 4 divisors (see below), whose sum is σ = 12006452992. Its totient is φ = 9004839732.

The previous prime is 10505646337. The next prime is 10505646413. The reversal of 10505646361 is 16364650501.

10505646361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16364650501 = 38342727547.

It is not a de Polignac number, because 10505646361 - 25 = 10505646329 is a prime.

It is a super-2 number, since 2×105056463612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10505646361.

It is not an unprimeable number, because it can be changed into a prime (10505646301) 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, 750403305 + ... + 750403318.

It is an arithmetic number, because the mean of its divisors is an integer number (3001613248).

Almost surely, 210505646361 is an apocalyptic number.

It is an amenable number.

10505646361 is a deficient number, since it is larger than the sum of its proper divisors (1500806631).

10505646361 is an equidigital number, since it uses as much as digits as its factorization.

10505646361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500806630.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 10505646361 in words is "ten billion, five hundred five million, six hundred forty-six thousand, three hundred sixty-one".

Divisors: 1 7 1500806623 10505646361