Search a number
-
+
13727600416 = 252318651631
BaseRepresentation
bin11001100100011101…
…01000111100100000
31022102200220100121001
430302032220330200
5211103231203131
610150102041344
7664116451435
oct146216507440
938380810531
1013727600416
115904966412
1227b1419254
1313aa055aaa
14943249b8c
15555277261
hex3323a8f20

13727600416 has 24 divisors (see below), whose sum is σ = 28201267584. Its totient is φ = 6565373760.

The previous prime is 13727600413. The next prime is 13727600429. The reversal of 13727600416 is 61400672731.

It is not an unprimeable number, because it can be changed into a prime (13727600413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9325080 + ... + 9326551.

It is an arithmetic number, because the mean of its divisors is an integer number (1175052816).

Almost surely, 213727600416 is an apocalyptic number.

13727600416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13727600416 is an abundant number, since it is smaller than the sum of its proper divisors (14473667168).

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

13727600416 is a wasteful number, since it uses less digits than its factorization.

13727600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651664 (or 18651656 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 13727600416 in words is "thirteen billion, seven hundred twenty-seven million, six hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 18651631 37303262 74606524 149213048 298426096 428987513 596852192 857975026 1715950052 3431900104 6863800208 13727600416