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13813355720 = 2353115677109
BaseRepresentation
bin11001101110101011…
…10001010011001000
31022122200021011202102
430313111301103020
5211242204340340
610202404052532
7666210405053
oct146725612310
938580234672
1013813355720
11594930866a
122816094148
1313c1a4c988
149507ada9a
1555ca66215
hex3375714c8

13813355720 has 64 divisors (see below), whose sum is σ = 32107622400. Its totient is φ = 5342941440.

The previous prime is 13813355711. The next prime is 13813355747. The reversal of 13813355720 is 2755331831.

13813355720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1939526 + ... + 1946634.

It is an arithmetic number, because the mean of its divisors is an integer number (501681600).

Almost surely, 213813355720 is an apocalyptic number.

13813355720 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 13813355720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053811200).

13813355720 is an abundant number, since it is smaller than the sum of its proper divisors (18294266680).

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

13813355720 is a wasteful number, since it uses less digits than its factorization.

13813355720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 13813355720 in words is "thirteen billion, eight hundred thirteen million, three hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1567 3134 6268 7109 7835 12536 14218 15670 28436 31340 35545 48577 56872 62680 71090 97154 142180 194308 220379 242885 284360 388616 440758 485770 881516 971540 1101895 1763032 1943080 2203790 4407580 8815160 11139803 22279606 44559212 55699015 89118424 111398030 222796060 345333893 445592120 690667786 1381335572 1726669465 2762671144 3453338930 6906677860 13813355720