Search a number
-
+
13381746721 = 719677919009
BaseRepresentation
bin11000111011001110…
…10100000000100001
31021112121010011111221
430131213110000201
5204401211343341
610051505135041
7652416653560
oct143547240041
937477104457
1013381746721
115747713412
12271562a481
1313534c1c35
1490d33bbd7
15534c0bed1
hex31d9d4021

13381746721 has 32 divisors (see below), whose sum is σ = 16546304000. Its totient is φ = 10568143872.

The previous prime is 13381746617. The next prime is 13381746737. The reversal of 13381746721 is 12764718331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13381746721 - 213 = 13381738529 is a prime.

It is a super-2 number, since 2×133817467212 (a number of 21 digits) contains 22 as substring.

It is the 115680-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13381746121) by changing a digit.

It is a nontrivial repunit in base 115679.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694465 + ... + 713473.

It is an arithmetic number, because the mean of its divisors is an integer number (517072000).

Almost surely, 213381746721 is an apocalyptic number.

It is an amenable number.

13381746721 is a deficient number, since it is larger than the sum of its proper divisors (3164557279).

13381746721 is a wasteful number, since it uses less digits than its factorization.

13381746721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19181.

The product of its digits is 169344, while the sum is 43.

The spelling of 13381746721 in words is "thirteen billion, three hundred eighty-one million, seven hundred forty-six thousand, seven hundred twenty-one".

Divisors: 1 7 19 67 79 133 469 553 1273 1501 5293 8911 10507 19009 37051 100567 133063 361171 703969 1273603 1501711 2528197 8915221 10511977 24198457 28532509 100614637 169389199 199727563 704302459 1911678103 13381746721