Search a number
-
+
11832000513 = 337356918583
BaseRepresentation
bin10110000010011111…
…00000000000000001
31010112120222220101020
423001033200000001
5143212443004023
65234024500053
7566131226214
oct130117400001
933476886336
1011832000513
115021946123
12236261a629
131167402c48
148035a977b
15493b37de3
hex2c13e0001

11832000513 has 16 divisors (see below), whose sum is σ = 15846948480. Its totient is φ = 7852604544.

The previous prime is 11832000491. The next prime is 11832000517. The reversal of 11832000513 is 31500023811.

It is not a de Polignac number, because 11832000513 - 26 = 11832000449 is a prime.

It is a super-2 number, since 2×118320005132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11832000517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627420 + ... + 646002.

It is an arithmetic number, because the mean of its divisors is an integer number (990434280).

It is a Proth number, since it is equal to 90271 ⋅ 217 + 1 and 90271 < 217.

Almost surely, 211832000513 is an apocalyptic number.

It is an amenable number.

11832000513 is a deficient number, since it is larger than the sum of its proper divisors (4014947967).

11832000513 is a wasteful number, since it uses less digits than its factorization.

11832000513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11832000513 in words is "eleven billion, eight hundred thirty-two million, five hundred thirteen", and thus it is an aban number.

Divisors: 1 3 373 569 1119 1707 18583 55749 212237 636711 6931459 10573727 20794377 31721181 3944000171 11832000513