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13937927481 = 32232292592
BaseRepresentation
bin11001111101100001…
…11110010100111001
31022222100200002002100
430332300332110321
5212021102134411
610223014054013
71002252300042
oct147660762471
938870602070
1013937927481
115a02662235
12284b94a309
1314117b778a
149631598c9
15568971456
hex33ec3e539

13937927481 has 81 divisors (see below), whose sum is σ = 22172392879. Its totient is φ = 8436023904.

The previous prime is 13937927473. The next prime is 13937927501. The reversal of 13937927481 is 18472973931.

The square root of 13937927481 is 118059.

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

13937927481 is a `hidden beast` number, since 1 + 3 + 93 + 79 + 2 + 7 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7308711081 + 6629216400 = 85491^2 + 81420^2 .

It is not a de Polignac number, because 13937927481 - 23 = 13937927473 is a prime.

It is a super-2 number, since 2×139379274812 (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 (13937927431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 236236030 + ... + 236236088.

Almost surely, 213937927481 is an apocalyptic number.

13937927481 is the 118059-th square number.

13937927481 is the 59030-th centered octagonal number.

It is an amenable number.

13937927481 is a deficient number, since it is larger than the sum of its proper divisors (8234465398).

13937927481 is an equidigital number, since it uses as much as digits as its factorization.

13937927481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 13937927481 in words is "thirteen billion, nine hundred thirty-seven million, nine hundred twenty-seven thousand, four hundred eighty-one".

Divisors: 1 3 9 23 29 59 69 87 177 207 261 529 531 667 841 1357 1587 1711 2001 2523 3481 4071 4761 5133 6003 7569 10443 12213 15341 15399 19343 31211 31329 39353 46023 49619 58029 80063 93633 100949 118059 138069 148857 174087 240189 280899 302847 354177 444889 446571 720567 905119 908541 1141237 1334667 1841449 2321827 2715357 2927521 3423711 4004001 5524347 6965481 8146071 8782563 10271133 16573041 20896443 26248451 26347689 53402021 67332983 78745353 160206063 201998949 236236059 480618189 605996847 1548658609 4645975827 13937927481