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13088706408 = 233469129231
BaseRepresentation
bin11000011000010010…
…11100111101101000
31020210011201011210000
430030021130331220
5203301202101113
610002440223000
7642231111621
oct141411347550
936704634700
1013088706408
115607262938
12265346aa60
13130788cbbb
148c245aa48
15519125373
hex30c25cf68

13088706408 has 80 divisors (see below), whose sum is σ = 36714807360. Its totient is φ = 4356439200.

The previous prime is 13088706361. The next prime is 13088706479. The reversal of 13088706408 is 80460788031.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 433153 + ... + 462383.

It is an arithmetic number, because the mean of its divisors is an integer number (458935092).

Almost surely, 213088706408 is an apocalyptic number.

13088706408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13088706408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357403680).

13088706408 is an abundant number, since it is smaller than the sum of its proper divisors (23626100952).

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

13088706408 is a wasteful number, since it uses less digits than its factorization.

13088706408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29940 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13088706408 in words is "thirteen billion, eighty-eight million, seven hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 691 1382 2073 2764 4146 5528 6219 8292 12438 16584 18657 24876 29231 37314 49752 55971 58462 74628 87693 111942 116924 149256 175386 223884 233848 263079 350772 447768 526158 701544 789237 1052316 1578474 2104632 2367711 3156948 4735422 6313896 9470844 18941688 20198621 40397242 60595863 80794484 121191726 161588968 181787589 242383452 363575178 484766904 545362767 727150356 1090725534 1454300712 1636088301 2181451068 3272176602 4362902136 6544353204 13088706408