Search a number
-
+
13742729104 = 241366070813
BaseRepresentation
bin11001100110010000…
…10110011110010000
31022110202100222020211
430303020112132100
5211121114312404
610151402213504
7664362161416
oct146310263620
938422328224
1013742729104
115912459865
1227b64b4294
1313b0221b90
149452672b6
15556764b04
hex333216790

13742729104 has 20 divisors (see below), whose sum is σ = 28674733276. Its totient is φ = 6342797952.

The previous prime is 13742729027. The next prime is 13742729113. The reversal of 13742729104 is 40192724731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6269472400 + 7473256704 = 79180^2 + 86448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33035199 + ... + 33035614.

Almost surely, 213742729104 is an apocalyptic number.

It is an amenable number.

13742729104 is an abundant number, since it is smaller than the sum of its proper divisors (14932004172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13742729104 is a wasteful number, since it uses less digits than its factorization.

13742729104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66070834 (or 66070828 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 13742729104 in words is "thirteen billion, seven hundred forty-two million, seven hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 66070813 132141626 264283252 528566504 858920569 1057133008 1717841138 3435682276 6871364552 13742729104