Search a number
-
+
11837819253 = 3131717854931
BaseRepresentation
bin10110000011001011…
…01100100101110101
31010112222221112012010
423001211230211311
5143220440204003
65234353314433
7566231542401
oct130145544565
933488845163
1011837819253
11502515a8a7
122364565a19
13116868c5a0
14804282101
154943d7003
hex2c196c975

11837819253 has 16 divisors (see below), whose sum is σ = 17997771456. Its totient is φ = 6856293120.

The previous prime is 11837819251. The next prime is 11837819281. The reversal of 11837819253 is 35291873811.

11837819253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11837819253 - 21 = 11837819251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11837819251) 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 15 ways as a sum of consecutive naturals, for example, 8926803 + ... + 8928128.

It is an arithmetic number, because the mean of its divisors is an integer number (1124860716).

Almost surely, 211837819253 is an apocalyptic number.

11837819253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11837819253 is a deficient number, since it is larger than the sum of its proper divisors (6159952203).

11837819253 is a wasteful number, since it uses less digits than its factorization.

11837819253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854964.

The product of its digits is 362880, while the sum is 48.

The spelling of 11837819253 in words is "eleven billion, eight hundred thirty-seven million, eight hundred nineteen thousand, two hundred fifty-three".

Divisors: 1 3 13 17 39 51 221 663 17854931 53564793 232114103 303533827 696342309 910601481 3945939751 11837819253