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13628817027 = 337242124469
BaseRepresentation
bin11001011000101011…
…10011111010000011
31022011211000122021000
430230111303322003
5210402434121102
610132212503043
7661510014300
oct145425637203
938154018230
1013628817027
115864125a51
12278431aa83
131392749c97
149340940a7
1554b76301c
hex32c573e83

13628817027 has 48 divisors (see below), whose sum is σ = 23544055200. Its totient is φ = 7769079360.

The previous prime is 13628817017. The next prime is 13628817031. The reversal of 13628817027 is 72071882631.

13628817027 is a `hidden beast` number, since 1 + 3 + 628 + 8 + 17 + 0 + 2 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13628817027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13628817017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544749 + ... + 569217.

It is an arithmetic number, because the mean of its divisors is an integer number (490501150).

Almost surely, 213628817027 is an apocalyptic number.

13628817027 is a deficient number, since it is larger than the sum of its proper divisors (9915238173).

13628817027 is a wasteful number, since it uses less digits than its factorization.

13628817027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24913 (or 24900 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13628817027 in words is "thirteen billion, six hundred twenty-eight million, eight hundred seventeen thousand, twenty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 421 441 1263 1323 2947 3789 8841 11367 20629 24469 26523 61887 73407 79569 171283 185661 220221 513849 556983 660663 1198981 1541547 3596943 4624641 10301449 10790829 30904347 32372487 72110143 92713041 216330429 278139123 504771001 648991287 1514313003 1946973861 4542939009 13628817027