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13093199600 = 24521313718379
BaseRepresentation
bin11000011000110101…
…00101111011110000
31020210111011110021112
430030122211323300
5203303324341400
610003120412452
7642314234405
oct141432457360
936714143245
1013093199600
115609851718
122654a77128
1313087a40b0
148c2caa2ac
15519711835
hex30c6a5ef0

13093199600 has 120 divisors (see below), whose sum is σ = 34125263760. Its totient is φ = 4798863360.

The previous prime is 13093199597. The next prime is 13093199663. The reversal of 13093199600 is 699139031.

13093199600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703211 + ... + 721589.

It is an arithmetic number, because the mean of its divisors is an integer number (284377198).

Almost surely, 213093199600 is an apocalyptic number.

13093199600 is a gapful number since it is divisible by the number (10) 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 13093199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062631880).

13093199600 is an abundant number, since it is smaller than the sum of its proper divisors (21032064160).

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

13093199600 is a wasteful number, since it uses less digits than its factorization.

13093199600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18547 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 41.

The spelling of 13093199600 in words is "thirteen billion, ninety-three million, one hundred ninety-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 137 200 208 260 274 325 400 520 548 650 685 1040 1096 1300 1370 1781 2192 2600 2740 3425 3562 5200 5480 6850 7124 8905 10960 13700 14248 17810 18379 27400 28496 35620 36758 44525 54800 71240 73516 89050 91895 142480 147032 178100 183790 238927 294064 356200 367580 459475 477854 712400 735160 918950 955708 1194635 1470320 1837900 1911416 2389270 2517923 3675800 3822832 4778540 5035846 5973175 7351600 9557080 10071692 11946350 12589615 19114160 20143384 23892700 25179230 32732999 40286768 47785400 50358460 62948075 65465998 95570800 100716920 125896150 130931996 163664995 201433840 251792300 261863992 327329990 503584600 523727984 654659980 818324975 1007169200 1309319960 1636649950 2618639920 3273299900 6546599800 13093199600