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11825198445 = 354318333641
BaseRepresentation
bin10110000001101011…
…00011010101101101
31010112010012022200210
423000311203111231
5143204222322240
65233223013033
7566016346134
oct130065432555
933463168623
1011825198445
11501901a685
12236029a179
131165b90b58
1480271891b
15493242780
hex2c0d6356d

11825198445 has 16 divisors (see below), whose sum is σ = 19360325952. Its totient is φ = 6160103040.

The previous prime is 11825198423. The next prime is 11825198447. The reversal of 11825198445 is 54489152811.

11825198445 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 11825198445 - 26 = 11825198381 is a prime.

It is a super-4 number, since 4×118251984454 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11825198394 and 11825198403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825198447) 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, 9166176 + ... + 9167465.

It is an arithmetic number, because the mean of its divisors is an integer number (1210020372).

Almost surely, 211825198445 is an apocalyptic number.

11825198445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11825198445 is a deficient number, since it is larger than the sum of its proper divisors (7535127507).

11825198445 is a wasteful number, since it uses less digits than its factorization.

11825198445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333692.

The product of its digits is 460800, while the sum is 48.

The spelling of 11825198445 in words is "eleven billion, eight hundred twenty-five million, one hundred ninety-eight thousand, four hundred forty-five".

Divisors: 1 3 5 15 43 129 215 645 18333641 55000923 91668205 275004615 788346563 2365039689 3941732815 11825198445