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13730100660 = 22325174486961
BaseRepresentation
bin11001100100110000…
…01011010110110100
31022102212121101021200
430302120023112310
5211104401210120
610150231412500
7664146633663
oct146230132664
938385541250
1013730100660
115906313931
1227b2224130
1313aa71cb23
149436dadda
155555bce90
hex33260b5b4

13730100660 has 72 divisors (see below), whose sum is σ = 44097862536. Its totient is φ = 3445985280.

The previous prime is 13730100653. The next prime is 13730100661. The reversal of 13730100660 is 6600103731.

It can be written as a sum of positive squares in 4 ways, for example, as 1084648356 + 12645452304 = 32934^2 + 112452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730100661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240421 + ... + 2246540.

It is an arithmetic number, because the mean of its divisors is an integer number (612470313).

Almost surely, 213730100660 is an apocalyptic number.

13730100660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13730100660 is an abundant number, since it is smaller than the sum of its proper divisors (30367761876).

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

13730100660 is a wasteful number, since it uses less digits than its factorization.

13730100660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486993 (or 4486988 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 13730100660 in words is "thirteen billion, seven hundred thirty million, one hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4486961 8973922 13460883 17947844 22434805 26921766 40382649 44869610 53843532 67304415 76278337 80765298 89739220 134608830 152556674 161530596 201913245 228835011 269217660 305113348 381391685 403826490 457670022 686505033 762783370 807652980 915340044 1144175055 1373010066 1525566740 2288350110 2746020132 3432525165 4576700220 6865050330 13730100660