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13698420645 = 3572133738747
BaseRepresentation
bin11001100000111110…
…10100111110100101
31022100122222212110210
430300133110332211
5211023243430040
610143140410033
7663313440300
oct146037247645
938318885423
1013698420645
11589a4461a8
1227a36a6919
1313a3caa260
1493d411b37
15552911480
hex3307d4fa5

13698420645 has 96 divisors (see below), whose sum is σ = 28199864448. Its totient is φ = 5624059392.

The previous prime is 13698420629. The next prime is 13698420649. The reversal of 13698420645 is 54602489631.

It is not a de Polignac number, because 13698420645 - 24 = 13698420629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13698420594 and 13698420603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13698420649) 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 95 ways as a sum of consecutive naturals, for example, 334162 + ... + 372908.

It is an arithmetic number, because the mean of its divisors is an integer number (293748588).

Almost surely, 213698420645 is an apocalyptic number.

13698420645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13698420645 is an abundant number, since it is smaller than the sum of its proper divisors (14501443803).

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

13698420645 is a wasteful number, since it uses less digits than its factorization.

13698420645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38819 (or 38812 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 13698420645 in words is "thirteen billion, six hundred ninety-eight million, four hundred twenty thousand, six hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 49 65 91 105 111 147 185 195 245 259 273 455 481 555 637 735 777 1295 1365 1443 1813 1911 2405 3185 3367 3885 5439 7215 9065 9555 10101 16835 23569 27195 38747 50505 70707 116241 117845 193735 271229 353535 503711 581205 813687 1356145 1433639 1511133 1898603 2518555 3525977 4068435 4300917 5695809 7168195 7555665 9493015 10035473 10577931 17629885 18637307 21504585 24681839 28479045 30106419 50177365 52889655 55911921 70248311 74045517 93186535 123409195 130461149 150532095 210744933 279559605 351241555 370227585 391383447 652305745 913228043 1053724665 1956917235 2739684129 4566140215 13698420645