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14170759681 = 13291572
BaseRepresentation
bin11010011001010010…
…01010001000000001
31100120120210011211011
431030221022020001
5213010203302211
610302052320521
71011110320111
oct151451121001
940516704734
1014170759681
11601202a541
1228b5913141
13144aac8c00
14986047041
1557e113921
hex34ca4a201

14170759681 has 9 divisors (see below), whose sum is σ = 15346344681. Its totient is φ = 13079272752.

The previous prime is 14170759679. The next prime is 14170759697. The reversal of 14170759681 is 18695707141.

The square root of 14170759681 is 119041.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7354606081 + 6816153600 = 85759^2 + 82560^2 .

It is not a de Polignac number, because 14170759681 - 21 = 14170759679 is a prime.

It is a super-2 number, since 2×141707596812 (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 (14170759601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1542955 + ... + 1552111.

It is an arithmetic number, because the mean of its divisors is an integer number (1705149409).

Almost surely, 214170759681 is an apocalyptic number.

14170759681 is the 119041-st square number.

14170759681 is the 59521-st centered octagonal number.

It is an amenable number.

14170759681 is a deficient number, since it is larger than the sum of its proper divisors (1175585000).

14170759681 is an frugal number, since it uses more digits than its factorization.

14170759681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

Multiplying 14170759681 by its sum of digits (49), we get a square (694367224369 = 8332872).

The spelling of 14170759681 in words is "fourteen billion, one hundred seventy million, seven hundred fifty-nine thousand, six hundred eighty-one".

Divisors: 1 13 169 9157 119041 1547533 83850649 1090058437 14170759681