Search a number
-
+
13983000177 = 359972573169
BaseRepresentation
bin11010000010111001…
…11010011001110001
31100002111111000012110
431001130322121301
5212114122001202
610231304115533
71003340353236
oct150134723161
940074430173
1013983000177
115a26047aa3
122862a65ba9
13141ac39203
1496912d78d
1556c8c626c
hex34173a671

13983000177 has 32 divisors (see below), whose sum is σ = 19236067200. Its totient is φ = 9031385088.

The previous prime is 13983000169. The next prime is 13983000179. The reversal of 13983000177 is 77100038931.

It is a happy number.

13983000177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13983000177 - 23 = 13983000169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13983000179) 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 31 ways as a sum of consecutive naturals, for example, 4410849 + ... + 4414017.

It is an arithmetic number, because the mean of its divisors is an integer number (601127100).

Almost surely, 213983000177 is an apocalyptic number.

It is an amenable number.

13983000177 is a deficient number, since it is larger than the sum of its proper divisors (5253067023).

13983000177 is a wasteful number, since it uses less digits than its factorization.

13983000177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585.

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 13983000177 in words is "thirteen billion, nine hundred eighty-three million, one hundred seventy-seven", and thus it is an aban number.

Divisors: 1 3 59 97 177 257 291 771 3169 5723 9507 15163 17169 24929 45489 74787 186971 307393 560913 814433 922179 1470811 2443299 4412433 18136187 48051547 54408561 79000001 144154641 237000003 4661000059 13983000177