Search a number
-
+
13202707403809 = 72112471892
BaseRepresentation
bin1100000000011111111010…
…1011110101010000100001
31201202011111101020120121001
43000013332223311100201
53212303121043410214
644025123503432001
72531602253166100
oct300077653652041
951664441216531
1013202707403809
114230267154500
121592933bb5601
1374a018b83c81
1433902b906037
1517d675654c74
hexc01feaf5421

13202707403809 has 27 divisors (see below), whose sum is σ = 16881741594291. Its totient is φ = 10287605937840.

The previous prime is 13202707403797. The next prime is 13202707403819. The reversal of 13202707403809 is 90830470720231.

The square root of 13202707403809 is 3633553.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13091031131409 + 111676272400 = 3618153^2 + 334180^2 .

It is not a de Polignac number, because 13202707403809 - 27 = 13202707403681 is a prime.

It is a super-2 number, since 2×132027074038092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13202707403819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279759987 + ... + 279807175.

Almost surely, 213202707403809 is an apocalyptic number.

13202707403809 is the 3633553-rd square number.

13202707403809 is the 1816777-th centered octagonal number.

It is an amenable number.

13202707403809 is a deficient number, since it is larger than the sum of its proper divisors (3679034190482).

13202707403809 is an frugal number, since it uses more digits than its factorization.

13202707403809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94414 (or 47207 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 13202707403809 in words is "thirteen trillion, two hundred two billion, seven hundred seven million, four hundred three thousand, eight hundred nine".

Divisors: 1 7 11 49 77 121 539 847 5929 47189 330323 519079 2312261 3633553 5709869 25434871 39969083 279783581 2226801721 15587612047 24494818931 109113284329 171463732517 269443008241 1200246127619 1886101057687 13202707403809