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13435640475 = 352347601859
BaseRepresentation
bin11001000001101001…
…11001101010011011
31021200100112020211220
430200310321222123
5210004010443400
610101112223123
7653643026325
oct144064715233
937610466756
1013435640475
115775083604
12272b69aaa3
13136171172a
1491656a615
155398057a0
hex320d39a9b

13435640475 has 48 divisors (see below), whose sum is σ = 22340653440. Its totient is φ = 7124832000.

The previous prime is 13435640473. The next prime is 13435640489. The reversal of 13435640475 is 57404653431.

13435640475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13435640475 - 21 = 13435640473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13435640473) 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 47 ways as a sum of consecutive naturals, for example, 15640596 + ... + 15641454.

It is an arithmetic number, because the mean of its divisors is an integer number (465430280).

Almost surely, 213435640475 is an apocalyptic number.

13435640475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13435640475 is a deficient number, since it is larger than the sum of its proper divisors (8905012965).

13435640475 is a wasteful number, since it uses less digits than its factorization.

13435640475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 13435640475 in words is "thirteen billion, four hundred thirty-five million, six hundred forty thousand, four hundred seventy-five".

Divisors: 1 3 5 15 25 75 347 601 859 1041 1735 1803 2577 3005 4295 5205 8675 9015 12885 15025 21475 26025 45075 64425 208547 298073 516259 625641 894219 1042735 1490365 1548777 2581295 3128205 4471095 5213675 7451825 7743885 12906475 15641025 22355475 38719425 179141873 537425619 895709365 2687128095 4478546825 13435640475