Search a number
-
+
13726038963 = 371373688747
BaseRepresentation
bin11001100100010001…
…01011101110110011
31022102120222000200110
430302020223232303
5211102331221323
610150004352403
7664100256210
oct146210535663
938376860613
1013726038963
115903a9a25a
1227b09a5703
1313a992a160
14942d60b07
15555069793
hex33222bbb3

13726038963 has 32 divisors (see below), whose sum is σ = 22833373696. Its totient is φ = 7140918528.

The previous prime is 13726038961. The next prime is 13726038979. The reversal of 13726038963 is 36983062731.

It is not a de Polignac number, because 13726038963 - 21 = 13726038961 is a prime.

It is a super-3 number, since 3×137260389633 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13726038961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324445 + ... + 364302.

It is an arithmetic number, because the mean of its divisors is an integer number (713542928).

Almost surely, 213726038963 is an apocalyptic number.

13726038963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13726038963 is a deficient number, since it is larger than the sum of its proper divisors (9107334733).

13726038963 is a wasteful number, since it uses less digits than its factorization.

13726038963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688843.

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 13726038963 in words is "thirteen billion, seven hundred twenty-six million, thirty-eight thousand, nine hundred sixty-three".

Divisors: 1 3 7 13 21 39 73 91 219 273 511 949 1533 2847 6643 19929 688747 2066241 4821229 8953711 14463687 26861133 50278531 62675977 150835593 188027931 351949717 653620903 1055849151 1960862709 4575346321 13726038963