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13806502320 = 2435132340397
BaseRepresentation
bin11001101101110111…
…01000000110110000
31022122012100222122210
430312323220012300
5211233431033240
610202001132120
7666065222232
oct146673500660
938565328583
1013806502320
1159454575a6
12281392a040
1313c04c0400
1494d908252
1555c160780
hex336ee81b0

13806502320 has 120 divisors (see below), whose sum is σ = 46345868496. Its totient is φ = 3398513664.

The previous prime is 13806502301. The next prime is 13806502327. The reversal of 13806502320 is 2320560831.

13806502320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13806502327) by changing a digit.

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, 129639 + ... + 210758.

Almost surely, 213806502320 is an apocalyptic number.

13806502320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13806502320 is an abundant number, since it is smaller than the sum of its proper divisors (32539366176).

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

13806502320 is a wasteful number, since it uses less digits than its factorization.

13806502320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340439 (or 340420 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13806502320 in words is "thirteen billion, eight hundred six million, five hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 340397 680794 1021191 1361588 1701985 2042382 2723176 3403970 4084764 4425161 5105955 5446352 6807940 8169528 8850322 10211910 13275483 13615880 16339056 17700644 20423820 22125805 26550966 27231760 35401288 40847640 44251610 53101932 57527093 66377415 70802576 81695280 88503220 106203864 115054186 132754830 172581279 177006440 212407728 230108372 265509660 287635465 345162558 354012880 460216744 531019320 575270930 690325116 862906395 920433488 1062038640 1150541860 1380650232 1725812790 2301083720 2761300464 3451625580 4602167440 6903251160 13806502320