Search a number
-
+
13065506553 = 3112173176679
BaseRepresentation
bin11000010101100001…
…11100111011111001
31020201120001111120010
430022300330323321
5203224232202203
610000251052133
7641526654561
oct141260747371
936646044503
1013065506553
1155a5157500
122647741049
131302b29188
148bd33bda1
15517091303
hex30ac3cef9

13065506553 has 48 divisors (see below), whose sum is σ = 20341722240. Its totient is φ = 7428072960.

The previous prime is 13065506479. The next prime is 13065506591. The reversal of 13065506553 is 35560556031.

It is not a de Polignac number, because 13065506553 - 28 = 13065506297 is a prime.

It is a super-2 number, since 2×130655065532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13065506053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952868 + ... + 1959546.

It is an arithmetic number, because the mean of its divisors is an integer number (423785880).

Almost surely, 213065506553 is an apocalyptic number.

It is an amenable number.

13065506553 is a deficient number, since it is larger than the sum of its proper divisors (7276215687).

13065506553 is a wasteful number, since it uses less digits than its factorization.

13065506553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 13065506553 in words is "thirteen billion, sixty-five million, five hundred six thousand, five hundred fifty-three".

Divisors: 1 3 11 17 33 51 121 187 317 363 561 951 2057 3487 5389 6171 6679 10461 16167 20037 38357 59279 73469 113543 115071 177837 220407 340629 652069 808159 1248973 1956207 2117243 2424477 3746919 6351729 13738703 23289673 35993131 41216109 69869019 107979393 256186403 395924441 768559209 1187773323 4355168851 13065506553