Search a number
-
+
10679133535 = 571193255757
BaseRepresentation
bin10011111001000011…
…01010010101011111
31000120020200012012021
421330201222111133
5133332324233120
64523402521011
7525432065050
oct117441522537
930506605167
1010679133535
1145901020a4
1220a0506167
131012601c35
14734428727
1542780caaa
hex27c86a55f

10679133535 has 16 divisors (see below), whose sum is σ = 14658002496. Its totient is φ = 7316667648.

The previous prime is 10679133533. The next prime is 10679133557. The reversal of 10679133535 is 53533197601.

It is a cyclic number.

It is not a de Polignac number, because 10679133535 - 21 = 10679133533 is a prime.

It is a super-2 number, since 2×106791335352 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10679133491 and 10679133500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10679133533) 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 15 ways as a sum of consecutive naturals, for example, 86124 + ... + 169633.

It is an arithmetic number, because the mean of its divisors is an integer number (916125156).

Almost surely, 210679133535 is an apocalyptic number.

10679133535 is a deficient number, since it is larger than the sum of its proper divisors (3978868961).

10679133535 is a wasteful number, since it uses less digits than its factorization.

10679133535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256962.

The product of its (nonzero) digits is 255150, while the sum is 43.

The spelling of 10679133535 in words is "ten billion, six hundred seventy-nine million, one hundred thirty-three thousand, five hundred thirty-five".

Divisors: 1 5 7 35 1193 5965 8351 41755 255757 1278785 1790299 8951495 305118101 1525590505 2135826707 10679133535