Search a number
-
+
10953151696 = 242114932369
BaseRepresentation
bin10100011001101101…
…11101010011010000
31001021100021202110001
422030312331103100
5134413001323241
65010512015344
7535300152604
oct121466752320
931240252401
1010953151696
11471084aa93
122158231554
131057303966
1475c997504
154418d8431
hex28cdbd4d0

10953151696 has 20 divisors (see below), whose sum is σ = 21223390500. Its totient is φ = 5476147712.

The previous prime is 10953151691. The next prime is 10953151709. The reversal of 10953151696 is 69615135901.

10953151696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 765075600 + 10188076096 = 27660^2 + 100936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10953151691) 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, 322200 + ... + 354568.

It is an arithmetic number, because the mean of its divisors is an integer number (1061169525).

Almost surely, 210953151696 is an apocalyptic number.

10953151696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10953151696 is a deficient number, since it is larger than the sum of its proper divisors (10270238804).

10953151696 is a wasteful number, since it uses less digits than its factorization.

10953151696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53526 (or 53520 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 46.

The spelling of 10953151696 in words is "ten billion, nine hundred fifty-three million, one hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 21149 32369 42298 64738 84596 129476 169192 258952 338384 517904 684571981 1369143962 2738287924 5476575848 10953151696