Search a number
-
+
13726161920 = 21052680891
BaseRepresentation
bin11001100100010010…
…01001110000000000
31022102121012021100102
430302021021300000
5211102344140140
610150011141532
7664101310532
oct146211116000
938377167312
1013726161920
115904073679
1227b0a448a8
1313a9971103
14942d93852
15555090e15
hex332249c00

13726161920 has 44 divisors (see below), whose sum is σ = 32926715544. Its totient is φ = 5490462720.

The previous prime is 13726161901. The next prime is 13726161923. The reversal of 13726161920 is 2916162731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726161923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335326 + ... + 1345565.

Almost surely, 213726161920 is an apocalyptic number.

13726161920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13726161920 is an abundant number, since it is smaller than the sum of its proper divisors (19200553624).

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

13726161920 is an equidigital number, since it uses as much as digits as its factorization.

13726161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680916 (or 2680898 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 13726161920 in words is "thirteen billion, seven hundred twenty-six million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 2680891 5361782 10723564 13404455 21447128 26808910 42894256 53617820 85788512 107235640 171577024 214471280 343154048 428942560 686308096 857885120 1372616192 1715770240 2745232384 3431540480 6863080960 13726161920