Search a number
-
+
13793637006 = 2325314458739
BaseRepresentation
bin11001101100010101…
…00011001010001110
31022121022011100202200
430312022203022032
5211222132341011
610200421302330
7665550660102
oct146612431216
938538140680
1013793637006
11593916a706
12280b5649a6
1313ba9375b6
1494bd19902
1555ae6d856
hex3362a328e

13793637006 has 24 divisors (see below), whose sum is σ = 30450106440. Its totient is φ = 4511126256.

The previous prime is 13793637001. The next prime is 13793637049. The reversal of 13793637006 is 60073639731.

13793637006 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 3 + 637 + 0 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793637001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7228416 + ... + 7230323.

It is an arithmetic number, because the mean of its divisors is an integer number (1268754435).

Almost surely, 213793637006 is an apocalyptic number.

13793637006 is an abundant number, since it is smaller than the sum of its proper divisors (16656469434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13793637006 is a wasteful number, since it uses less digits than its factorization.

13793637006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14458800 (or 14458797 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 13793637006 in words is "thirteen billion, seven hundred ninety-three million, six hundred thirty-seven thousand, six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 14458739 28917478 43376217 86752434 130128651 260257302 766313167 1532626334 2298939501 4597879002 6896818503 13793637006