Search a number
-
+
13051336932 = 2232379798301
BaseRepresentation
bin11000010011110101…
…11001100011100100
31020200120101121111100
430021322321203210
5203212120240212
65555023240100
7641265350664
oct141172714344
936616347440
1013051336932
115598159677
122642a49030
1312ccc0779a
148bb4d01a4
15515be2bdc
hex309eb98e4

13051336932 has 36 divisors (see below), whose sum is σ = 33882528316. Its totient is φ = 4232865600.

The previous prime is 13051336853. The next prime is 13051336933. The reversal of 13051336932 is 23963315031.

13051336932 is a `hidden beast` number, since 130 + 513 + 3 + 6 + 9 + 3 + 2 = 666.

13051336932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7254950976 + 5796385956 = 85176^2 + 76134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13051336933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4897819 + ... + 4900482.

Almost surely, 213051336932 is an apocalyptic number.

13051336932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13051336932 is an abundant number, since it is smaller than the sum of its proper divisors (20831191384).

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

13051336932 is a wasteful number, since it uses less digits than its factorization.

13051336932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798348 (or 9798343 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 13051336932 in words is "thirteen billion, fifty-one million, three hundred thirty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9798301 19596602 29394903 39193204 58789806 88184709 117579612 176369418 352738836 362537137 725074274 1087611411 1450148548 2175222822 3262834233 4350445644 6525668466 13051336932