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13208565248 = 29414314633
BaseRepresentation
bin11000100110100101…
…01011011000000000
31021002112020122012022
430103102223120000
5204022343041443
610022401221012
7645214644404
oct142322533000
937075218168
1013208565248
11566898862a
122687631768
1313266677a8
148d433b104
155248ede68
hex3134ab600

13208565248 has 80 divisors (see below), whose sum is σ = 27665635536. Its totient is φ = 6292930560.

The previous prime is 13208565239. The next prime is 13208565263. The reversal of 13208565248 is 84256580231.

It is a junction number, because it is equal to n+sod(n) for n = 13208565199 and 13208565208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 895340 + ... + 909972.

Almost surely, 213208565248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13208565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832817768).

13208565248 is an abundant number, since it is smaller than the sum of its proper divisors (14457070288).

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

13208565248 is an equidigital number, since it uses as much as digits as its factorization.

13208565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 13208565248 in words is "thirteen billion, two hundred eight million, five hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 256 328 344 512 656 688 1312 1376 1763 2624 2752 3526 5248 5504 7052 10496 11008 14104 14633 20992 22016 28208 29266 56416 58532 112832 117064 225664 234128 451328 468256 599953 629219 902656 936512 1199906 1258438 1873024 2399812 2516876 3746048 4799624 5033752 7492096 9599248 10067504 19198496 20135008 25797979 38396992 40270016 51595958 76793984 80540032 103191916 153587968 161080064 206383832 307175936 322160128 412767664 825535328 1651070656 3302141312 6604282624 13208565248