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13200626320 = 245773332159
BaseRepresentation
bin11000100101101000…
…11001001010010000
31021001222022022000221
430102310121022100
5204013330020240
610021515122424
7645060321010
oct142264311220
937058268027
1013200626320
115664455a32
122684a43414
131324b180bb
148d3271c40
15523d81a4a
hex312d19290

13200626320 has 80 divisors (see below), whose sum is σ = 35124894720. Its totient is φ = 4519613952.

The previous prime is 13200626239. The next prime is 13200626323. The reversal of 13200626320 is 2362600231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13200626323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 394401 + ... + 426559.

It is an arithmetic number, because the mean of its divisors is an integer number (439061184).

Almost surely, 213200626320 is an apocalyptic number.

13200626320 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 13200626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17562447360).

13200626320 is an abundant number, since it is smaller than the sum of its proper divisors (21924268400).

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

13200626320 is a wasteful number, since it uses less digits than its factorization.

13200626320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32912 (or 32906 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 13200626320 in words is "thirteen billion, two hundred million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 733 1466 2932 3665 5131 5864 7330 10262 11728 14660 20524 25655 29320 32159 41048 51310 58640 64318 82096 102620 128636 160795 205240 225113 257272 321590 410480 450226 514544 643180 900452 1125565 1286360 1800904 2251130 2572720 3601808 4502260 9004520 18009040 23572547 47145094 94290188 117862735 165007829 188580376 235725470 330015658 377160752 471450940 660031316 825039145 942901880 1320062632 1650078290 1885803760 2640125264 3300156580 6600313160 13200626320