Search a number
-
+
10534764321 = 32342132
BaseRepresentation
bin10011100111110101…
…11011111100100001
31000012012000110212100
421303322323330201
5133033344424241
64501204321013
7522030006414
oct116372737441
930165013770
1010534764321
1145166663a4
1220600a3169
13cbb724c73
1471d1a7b7b
15419ce19b6
hex273ebbf21

10534764321 has 9 divisors (see below), whose sum is σ = 15217326579. Its totient is φ = 7022970936.

The previous prime is 10534764281. The next prime is 10534764329. The reversal of 10534764321 is 12346743501.

The square root of 10534764321 is 102639.

It is a perfect power (a square), and thus also a powerful number.

10534764321 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 7 + 643 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9236171025 + 1298593296 = 96105^2 + 36036^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-10534764321 is a prime.

It is a super-2 number, since 2×105347643212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10534764329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 290811 + ... + 325023.

Almost surely, 210534764321 is an apocalyptic number.

10534764321 is the 102639-th square number.

10534764321 is the 51320-th centered octagonal number.

It is an amenable number.

10534764321 is a deficient number, since it is larger than the sum of its proper divisors (4682562258).

10534764321 is an frugal number, since it uses more digits than its factorization.

10534764321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68432 (or 34216 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 10534764321 by its sum of digits (36), we get a square (379251515556 = 6158342).

The spelling of 10534764321 in words is "ten billion, five hundred thirty-four million, seven hundred sixty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 34213 102639 307917 1170529369 3511588107 10534764321