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13722013881 = 32390472
BaseRepresentation
bin11001100011110010…
…10101000010111001
31022102022101112022100
430301321111002321
5211100313421011
610145342214013
7664021123242
oct146171250271
938368345270
1013722013881
1159017a0144
1227ab584309
1313a8b4b054
149425d3cc9
15554a21d56
hex331e550b9

13722013881 has 9 divisors (see below), whose sum is σ = 19821194341. Its totient is φ = 9147774972.

The previous prime is 13722013873. The next prime is 13722013891. The reversal of 13722013881 is 18831022731.

The square root of 13722013881 is 117141.

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

13722013881 is a `hidden beast` number, since 1 + 3 + 72 + 201 + 388 + 1 = 666.

13722013881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13722013881 - 23 = 13722013873 is a prime.

It is a super-2 number, since 2×137220138812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13722013801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331900 + ... + 370946.

Almost surely, 213722013881 is an apocalyptic number.

13722013881 is the 117141-st square number.

13722013881 is the 58571-st centered octagonal number.

It is an amenable number.

13722013881 is a deficient number, since it is larger than the sum of its proper divisors (6099180460).

13722013881 is an frugal number, since it uses more digits than its factorization.

13722013881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78100 (or 39050 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 13722013881 by its sum of digits (36), we get a square (493992499716 = 7028462).

The spelling of 13722013881 in words is "thirteen billion, seven hundred twenty-two million, thirteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 39047 117141 351423 1524668209 4574004627 13722013881