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13693462680 = 23356713912253
BaseRepresentation
bin11001100000011000…
…11010100010011000
31022100022122222102110
430300030122202120
5211021011301210
610142442232320
7663223340502
oct146014324230
938308588373
1013693462680
11589766a207
1227a1ab56a0
1313a2c62651
1493c8c0d72
15552282420
hex33031a898

13693462680 has 128 divisors (see below), whose sum is σ = 41996908800. Its totient is φ = 3570918912.

The previous prime is 13693462669. The next prime is 13693462721. The reversal of 13693462680 is 8626439631.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1111434 + ... + 1123686.

It is an arithmetic number, because the mean of its divisors is an integer number (328100850).

Almost surely, 213693462680 is an apocalyptic number.

13693462680 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 13693462680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998454400).

13693462680 is an abundant number, since it is smaller than the sum of its proper divisors (28303446120).

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

13693462680 is a wasteful number, since it uses less digits than its factorization.

13693462680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12473 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 13693462680 in words is "thirteen billion, six hundred ninety-three million, four hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 139 201 268 278 335 402 417 536 556 670 695 804 834 1005 1112 1340 1390 1608 1668 2010 2085 2680 2780 3336 4020 4170 5560 8040 8340 9313 12253 16680 18626 24506 27939 36759 37252 46565 49012 55878 61265 73518 74504 93130 98024 111756 122530 139695 147036 183795 186260 223512 245060 279390 294072 367590 372520 490120 558780 735180 820951 1117560 1470360 1641902 1703167 2462853 3283804 3406334 4104755 4925706 5109501 6567608 6812668 8209510 8515835 9851412 10219002 12314265 13625336 16419020 17031670 19702824 20438004 24628530 25547505 32838040 34063340 40876008 49257060 51095010 68126680 98514120 102190020 114112189 204380040 228224378 342336567 456448756 570560945 684673134 912897512 1141121890 1369346268 1711682835 2282243780 2738692536 3423365670 4564487560 6846731340 13693462680