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11152147329 = 322713456737
BaseRepresentation
bin10100110001011100…
…00100001110000001
31001210012201210010200
422120232010032001
5140314422203304
65042341115413
7543234455031
oct123056041601
931705653120
1011152147329
114803107394
1221b29b8b69
1310895c8a5b
1477b1978c1
154540e4e39
hex298b84381

11152147329 has 12 divisors (see below), whose sum is σ = 16114630116. Its totient is φ = 7432008192.

The previous prime is 11152147283. The next prime is 11152147361. The reversal of 11152147329 is 92374125111.

It is a happy number.

11152147329 is a `hidden beast` number, since 1 + 115 + 214 + 7 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6602375025 + 4549772304 = 81255^2 + 67452^2 .

It is not a de Polignac number, because 11152147329 - 28 = 11152147073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11152147293 and 11152147302.

It is not an unprimeable number, because it can be changed into a prime (11152147399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203952 + ... + 252785.

It is an arithmetic number, because the mean of its divisors is an integer number (1342885843).

Almost surely, 211152147329 is an apocalyptic number.

It is an amenable number.

11152147329 is a deficient number, since it is larger than the sum of its proper divisors (4962482787).

11152147329 is a wasteful number, since it uses less digits than its factorization.

11152147329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459456 (or 459453 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 11152147329 in words is "eleven billion, one hundred fifty-two million, one hundred forty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 2713 8139 24417 456737 1370211 4110633 1239127481 3717382443 11152147329