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13388242985 = 51317373171033
BaseRepresentation
bin11000111100000000…
…00110000000101001
31021120001100012201022
430132000012000221
5204404342233420
610052300302225
7652526121245
oct143600060051
937501305638
1013388242985
115750350127
122717841975
131354957a90
1491014d425
15535591c25
hex31e006029

13388242985 has 64 divisors (see below), whose sum is σ = 18892222272. Its totient is φ = 9016344576.

The previous prime is 13388242963. The next prime is 13388243047. The reversal of 13388242985 is 58924288331.

It can be written as a sum of positive squares in 32 ways, for example, as 4908964096 + 8479278889 = 70064^2 + 92083^2 .

It is a cyclic number.

It is not a de Polignac number, because 13388242985 - 226 = 13321134121 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12960029 + ... + 12961061.

It is an arithmetic number, because the mean of its divisors is an integer number (295190973).

Almost surely, 213388242985 is an apocalyptic number.

It is an amenable number.

13388242985 is a deficient number, since it is larger than the sum of its proper divisors (5503979287).

13388242985 is a wasteful number, since it uses less digits than its factorization.

13388242985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422.

The product of its digits is 3317760, while the sum is 53.

The spelling of 13388242985 in words is "thirteen billion, three hundred eighty-eight million, two hundred forty-two thousand, nine hundred eighty-five".

Divisors: 1 5 13 17 37 65 85 185 221 317 481 629 1033 1105 1585 2405 3145 4121 5165 5389 8177 11729 13429 17561 20605 26945 38221 40885 58645 67145 70057 87805 152477 191105 199393 228293 327461 350285 496873 649757 762385 996965 1141465 1637305 2484365 2592109 3248785 4256993 5566837 8446841 12116057 12960545 21284965 27834185 42234205 60580285 72368881 157508741 205972969 361844405 787543705 1029864845 2677648597 13388242985