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13746009460 = 225312715193
BaseRepresentation
bin11001100110101001…
…10111010101110100
31022110222112122001111
430303110313111310
5211122434300320
610152000404404
7664432103221
oct146324672564
938428478044
1013746009460
11591429a3a7
1227b7616704
1313b0b00011
1494587c948
15556bb1a5a
hex333537574

13746009460 has 36 divisors (see below), whose sum is σ = 29827880964. Its totient is φ = 5321028480.

The previous prime is 13746009451. The next prime is 13746009463. The reversal of 13746009460 is 6490064731.

It can be written as a sum of positive squares in 2 ways, for example, as 6190227684 + 7555781776 = 78678^2 + 86924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746009463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338377 + ... + 376816.

It is an arithmetic number, because the mean of its divisors is an integer number (828552249).

Almost surely, 213746009460 is an apocalyptic number.

13746009460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746009460 is an abundant number, since it is smaller than the sum of its proper divisors (16081871504).

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

13746009460 is a wasteful number, since it uses less digits than its factorization.

13746009460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715264 (or 715231 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 13746009460 in words is "thirteen billion, seven hundred forty-six million, nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 9610 19220 715193 1430386 2860772 3575965 7151930 14303860 22170983 44341966 88683932 110854915 221709830 443419660 687300473 1374600946 2749201892 3436502365 6873004730 13746009460