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13874719681 = 61219312
BaseRepresentation
bin11001110101111111…
…10110101111000001
31022210221201210021201
430322333312233001
5211403412012211
610212435221201
71000554112534
oct147277665701
938727653251
1013874719681
11597aa10289
122832747801
131401686704
149589c4a1b
155631380c1
hex33aff6bc1

13874719681 has 9 divisors (see below), whose sum is σ = 14113211619. Its totient is φ = 13640197800.

The previous prime is 13874719667. The next prime is 13874719699. The reversal of 13874719681 is 18691747831.

The square root of 13874719681 is 117791.

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., 451180081 + 13423539600 = 21241^2 + 115860^2 .

It is not a de Polignac number, because 13874719681 - 213 = 13874711489 is a prime.

It is a super-2 number, since 2×138747196812 (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 (13874119681) 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, 7184286 + ... + 7186216.

Almost surely, 213874719681 is an apocalyptic number.

13874719681 is the 117791-st square number.

13874719681 is the 58896-th centered octagonal number.

It is an amenable number.

13874719681 is a deficient number, since it is larger than the sum of its proper divisors (238491938).

13874719681 is an frugal number, since it uses more digits than its factorization.

13874719681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 1992 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 55.

The spelling of 13874719681 in words is "thirteen billion, eight hundred seventy-four million, seven hundred nineteen thousand, six hundred eighty-one".

Divisors: 1 61 1931 3721 117791 3728761 7185251 227454421 13874719681