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13460465000 = 23542692093
BaseRepresentation
bin11001000100100111…
…00110010101101000
31021202002020110200202
430202103212111220
5210031334340000
610103400251332
7654364031123
oct144223462550
937662213622
1013460465000
115788099644
122737a70b48
1313668c3ab8
1491998d3ba
1553baaadd5
hex3224e6568

13460465000 has 40 divisors (see below), whose sum is σ = 31537881210. Its totient is φ = 5384184000.

The previous prime is 13460464993. The next prime is 13460465009. The reversal of 13460465000 is 56406431.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 47582404 + 13412882596 = 6898^2 + 115814^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13460465009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1341047 + ... + 1351046.

Almost surely, 213460465000 is an apocalyptic number.

13460465000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13460465000 is an abundant number, since it is smaller than the sum of its proper divisors (18077416210).

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

13460465000 is an equidigital number, since it uses as much as digits as its factorization.

13460465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692119 (or 2692100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13460465000 in words is "thirteen billion, four hundred sixty million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2692093 5384186 10768372 13460465 21536744 26920930 53841860 67302325 107683720 134604650 269209300 336511625 538418600 673023250 1346046500 1682558125 2692093000 3365116250 6730232500 13460465000