Search a number
-
+
13171977973 = 7211291734871
BaseRepresentation
bin11000100010001110…
…00110111011110101
31020222222101210220001
430101013012323311
5203434011243343
610015013111301
7644261652100
oct142107067365
936888353801
1013171977973
11564a269010
122677328531
13131bbc740b
148cd535737
155215c344d
hex3111c6ef5

13171977973 has 48 divisors (see below), whose sum is σ = 17395378560. Its totient is φ = 9850646400.

The previous prime is 13171977953. The next prime is 13171977983. The reversal of 13171977973 is 37977917131.

It is a happy number.

It is not a de Polignac number, because 13171977973 - 25 = 13171977941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171977913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701728 + ... + 2706598.

It is an arithmetic number, because the mean of its divisors is an integer number (362403720).

Almost surely, 213171977973 is an apocalyptic number.

It is an amenable number.

13171977973 is a deficient number, since it is larger than the sum of its proper divisors (4223400587).

13171977973 is a wasteful number, since it uses less digits than its factorization.

13171977973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5091 counting only the distinct ones).

The product of its digits is 1750329, while the sum is 55.

The spelling of 13171977973 in words is "thirteen billion, one hundred seventy-one million, nine hundred seventy-seven thousand, nine hundred seventy-three".

Divisors: 1 7 11 29 49 77 173 203 319 539 1211 1421 1903 2233 4871 5017 8477 13321 15631 34097 35119 53581 55187 93247 141259 238679 245833 375067 386309 842683 988813 1553849 2625469 2704163 5898781 6921691 9269513 10876943 24437807 41291467 64886591 76138601 171064649 268815877 454206137 1197452543 1881711139 13171977973