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11819408157 = 321313267573
BaseRepresentation
bin10110000000111110…
…11101101100011101
31010111201022010220200
423000133131230131
5143201232030112
65232454534113
7565616211624
oct130037355435
933451263820
1011819408157
115015825317
12235a367339
13116491444b
14801a4c6bb
1549299bcdc
hex2c07ddb1d

11819408157 has 6 divisors (see below), whose sum is σ = 17072478462. Its totient is φ = 7879605432.

The previous prime is 11819408149. The next prime is 11819408177. The reversal of 11819408157 is 75180491811.

11819408157 is a `hidden beast` number, since 11 + 81 + 9 + 408 + 157 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11353754916 + 465653241 = 106554^2 + 21579^2 .

It is not a de Polignac number, because 11819408157 - 23 = 11819408149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819408137) 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 5 ways as a sum of consecutive naturals, for example, 656633778 + ... + 656633795.

It is an arithmetic number, because the mean of its divisors is an integer number (2845413077).

Almost surely, 211819408157 is an apocalyptic number.

It is an amenable number.

11819408157 is a deficient number, since it is larger than the sum of its proper divisors (5253070305).

11819408157 is a wasteful number, since it uses less digits than its factorization.

11819408157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313267579 (or 1313267576 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

Adding to 11819408157 its reverse (75180491811), we get a palindrome (86999899968).

The spelling of 11819408157 in words is "eleven billion, eight hundred nineteen million, four hundred eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 1313267573 3939802719 11819408157