Search a number
-
+
11825628375 = 353112866819
BaseRepresentation
bin10110000001101110…
…01100010011010111
31010112011000011110010
423000313030103113
5143204330102000
65233240131303
7566023116441
oct130067142327
933464004403
1011825628375
1150192936a0
122360466b33
131165cb1752
148027cb491
154932c9d50
hex2c0dcc4d7

11825628375 has 32 divisors (see below), whose sum is σ = 21466748160. Its totient is φ = 5733636000.

The previous prime is 11825628343. The next prime is 11825628389. The reversal of 11825628375 is 57382652811.

11825628375 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 11825628375 - 25 = 11825628343 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1429285 + ... + 1437534.

It is an arithmetic number, because the mean of its divisors is an integer number (670835880).

Almost surely, 211825628375 is an apocalyptic number.

11825628375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11825628375 is a deficient number, since it is larger than the sum of its proper divisors (9641119785).

11825628375 is a wasteful number, since it uses less digits than its factorization.

11825628375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866848 (or 2866838 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 11825628375 in words is "eleven billion, eight hundred twenty-five million, six hundred twenty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 2866819 8600457 14334095 31535009 43002285 71670475 94605027 157675045 215011425 358352375 473025135 788375225 1075057125 2365125675 3941876125 11825628375