Search a number
-
+
1076281613329 = 131716329877623
BaseRepresentation
bin11111010100101110110…
…00100001110000010001
310210220001220201212220011
433222113120201300101
5120113211043111304
62142234214114521
7140521155524116
oct17522730416021
93726056655804
101076281613329
113854a2a0403a
1215471064ba41
137a653c3ca50
143a14141690d
151cee358ac04
hexfa97621c11

1076281613329 has 16 divisors (see below), whose sum is σ = 1234782444672. Its totient is φ = 929313554688.

The previous prime is 1076281613327. The next prime is 1076281613339. The reversal of 1076281613329 is 9233161826701.

It is a cyclic number.

It is not a de Polignac number, because 1076281613329 - 21 = 1076281613327 is a prime.

It is a super-2 number, since 2×10762816133292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1076281613321) 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 15 ways as a sum of consecutive naturals, for example, 14902789 + ... + 14974834.

It is an arithmetic number, because the mean of its divisors is an integer number (77173902792).

Almost surely, 21076281613329 is an apocalyptic number.

It is an amenable number.

1076281613329 is a deficient number, since it is larger than the sum of its proper divisors (158500831343).

1076281613329 is a wasteful number, since it uses less digits than its factorization.

1076281613329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29877816.

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 1076281613329 in words is "one trillion, seventy-six billion, two hundred eighty-one million, six hundred thirteen thousand, three hundred twenty-nine".

Divisors: 1 13 17 163 221 2119 2771 36023 29877623 388409099 507919591 4870052549 6602954683 63310683137 82790893333 1076281613329