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14579963145 = 345115635813
BaseRepresentation
bin11011001010000100…
…01001010100001001
31101122002202212110000
431211002021110021
5214324432310040
610410431113213
71024206433116
oct154502112411
941562685400
1014579963145
116202011120
1229aa972809
1314b4810637
149c452590d
155a4ee4130
hex365089509

14579963145 has 80 divisors (see below), whose sum is σ = 28567484352. Its totient is φ = 7055303040.

The previous prime is 14579963141. The next prime is 14579963149. The reversal of 14579963145 is 54136997541.

14579963145 is a `hidden beast` number, since 1 + 4 + 579 + 9 + 63 + 1 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14579963141) and next prime (14579963149).

It is not a de Polignac number, because 14579963145 - 22 = 14579963141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14579963091 and 14579963100.

It is not an unprimeable number, because it can be changed into a prime (14579963141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2505259 + ... + 2511071.

Almost surely, 214579963145 is an apocalyptic number.

14579963145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14579963145 is a deficient number, since it is larger than the sum of its proper divisors (13987521207).

14579963145 is a wasteful number, since it uses less digits than its factorization.

14579963145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6395 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 14579963145 in words is "fourteen billion, five hundred seventy-nine million, nine hundred sixty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 563 891 1485 1689 2815 4455 5067 5813 6193 8445 15201 17439 18579 25335 29065 30965 45603 52317 55737 63943 76005 87195 92895 156951 167211 191829 228015 261585 278685 319715 470853 501633 575487 784755 836055 959145 1726461 2354265 2508165 2877435 3272719 5179383 8632305 9818157 16363595 25896915 29454471 35999909 49090785 88363413 107999727 147272355 179999545 265090239 323999181 441817065 539998635 971997543 1325451195 1619995905 2915992629 4859987715 14579963145