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13268393568 = 25347370123
BaseRepresentation
bin11000101101101101…
…11001111001100000
31021020200211020020000
430112312321321200
5204133202043233
610032335420000
7646542325113
oct142666717140
937220736200
1013268393568
115699731521
1226a3684600
131335b84571
148dc27257a
15529cbad13
hex316db9e60

13268393568 has 120 divisors (see below), whose sum is σ = 39557088648. Its totient is φ = 4362149376.

The previous prime is 13268393531. The next prime is 13268393569. The reversal of 13268393568 is 86539386231.

It is a happy number.

13268393568 is a `hidden beast` number, since 13 + 2 + 68 + 3 + 9 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13268393569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154155 + ... + 224277.

Almost surely, 213268393568 is an apocalyptic number.

13268393568 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 13268393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778544324).

13268393568 is an abundant number, since it is smaller than the sum of its proper divisors (26288695080).

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

13268393568 is an equidigital number, since it uses as much as digits as its factorization.

13268393568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70218 (or 70201 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 13268393568 in words is "thirteen billion, two hundred sixty-eight million, three hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 288 292 324 432 438 584 648 657 864 876 1168 1296 1314 1752 1971 2336 2592 2628 3504 3942 5256 5913 7008 7884 10512 11826 15768 21024 23652 31536 47304 63072 70123 94608 140246 189216 210369 280492 420738 560984 631107 841476 1121968 1262214 1682952 1893321 2243936 2524428 3365904 3786642 5048856 5118979 5679963 6731808 7573284 10097712 10237958 11359926 15146568 15356937 20195424 20475916 22719852 30293136 30713874 40951832 45439704 46070811 60586272 61427748 81903664 90879408 92141622 122855496 138212433 163807328 181758816 184283244 245710992 276424866 368566488 414637299 491421984 552849732 737132976 829274598 1105699464 1474265952 1658549196 2211398928 3317098392 4422797856 6634196784 13268393568