Search a number
-
+
13439759684445 = 32517111311578323
BaseRepresentation
bin1100001110010011000000…
…0110100001001101011101
31202120211100221221010210200
43003210300012201031131
53230144111434400240
644330050152454113
72554663526264643
oct303446006411535
952524327833720
1013439759684445
114311851a71536
1216108703aa339
13766496647653
143466b88bb193
151848eb8e7930
hexc39301a135d

13439759684445 has 48 divisors (see below), whose sum is σ = 24668143486272. Its totient is φ = 6745621962240.

The previous prime is 13439759684437. The next prime is 13439759684453. The reversal of 13439759684445 is 54448695793431.

13439759684445 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 97 + 5 + 96 + 8 + 4 + 445 = 666.

It is an interprime number because it is at equal distance from previous prime (13439759684437) and next prime (13439759684453).

It is not a de Polignac number, because 13439759684445 - 23 = 13439759684437 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 7726054 + ... + 9304376.

It is an arithmetic number, because the mean of its divisors is an integer number (513919655964).

Almost surely, 213439759684445 is an apocalyptic number.

13439759684445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13439759684445 is a deficient number, since it is larger than the sum of its proper divisors (11228383801827).

13439759684445 is a wasteful number, since it uses less digits than its factorization.

13439759684445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589482 (or 1589479 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 13439759684445 in words is "thirteen trillion, four hundred thirty-nine billion, seven hundred fifty-nine million, six hundred eighty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 11131 33393 55655 100179 166965 189227 500895 567681 946135 1578323 1703043 2838405 4734969 7891615 8515215 14204907 23674845 26831491 71024535 80494473 134157455 241483419 402472365 1207417095 17568313313 52704939939 87841566565 158114819817 263524699695 298661326321 790574099085 895983978963 1493306631605 2687951936889 4479919894815 13439759684445