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10742848983 = 324492658463
BaseRepresentation
bin10100000000101001…
…01101110111010111
31000201200120021100200
422000110231313113
5134000132131413
64534000311543
7530134465266
oct120024556727
930650507320
1010742848983
114613070499
1220b99125b3
131022880099
1473ca925dd
1542d1e6573
hex28052ddd7

10742848983 has 12 divisors (see below), whose sum is σ = 15552014400. Its totient is φ = 7145945856.

The previous prime is 10742848969. The next prime is 10742848997. The reversal of 10742848983 is 38984824701.

It is a happy number.

10742848983 is a `hidden beast` number, since 10 + 74 + 2 + 8 + 489 + 83 = 666.

10742848983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10742848969) and next prime (10742848997).

It is not a de Polignac number, because 10742848983 - 210 = 10742847959 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742848933) 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 11 ways as a sum of consecutive naturals, for example, 1325191 + ... + 1333272.

It is an arithmetic number, because the mean of its divisors is an integer number (1296001200).

Almost surely, 210742848983 is an apocalyptic number.

10742848983 is a deficient number, since it is larger than the sum of its proper divisors (4809165417).

10742848983 is a wasteful number, since it uses less digits than its factorization.

10742848983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658918 (or 2658915 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10742848983 in words is "ten billion, seven hundred forty-two million, eight hundred forty-eight thousand, nine hundred eighty-three".

Divisors: 1 3 9 449 1347 4041 2658463 7975389 23926167 1193649887 3580949661 10742848983