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1463180013 = 321373118409
BaseRepresentation
bin101011100110110…
…0101101011101101
310202222020020122100
41113031211223231
510444033230023
6401105005313
751154552641
oct12715455355
93688206570
101463180013
11690a21889
1234a023839
131a419ccb9
14dc47ac21
15886c4c43
hex57365aed

1463180013 has 12 divisors (see below), whose sum is σ = 2115039420. Its totient is φ = 974734656.

The previous prime is 1463180011. The next prime is 1463180041. The reversal of 1463180013 is 3100813641.

1463180013 is a `hidden beast` number, since 14 + 631 + 8 + 0 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1400406084 + 62773929 = 37422^2 + 7923^2 .

It is not a de Polignac number, because 1463180013 - 21 = 1463180011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463180011) 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, 46848 + ... + 71561.

It is an arithmetic number, because the mean of its divisors is an integer number (176253285).

Almost surely, 21463180013 is an apocalyptic number.

It is an amenable number.

1463180013 is a deficient number, since it is larger than the sum of its proper divisors (651859407).

1463180013 is a wasteful number, since it uses less digits than its factorization.

1463180013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119788 (or 119785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1463180013 is about 38251.5360868031. The cubic root of 1463180013 is about 1135.2702398816.

Adding to 1463180013 its reverse (3100813641), we get a palindrome (4563993654).

It can be divided in two parts, 1463 and 180013, that added together give a square (181476 = 4262).

The spelling of 1463180013 in words is "one billion, four hundred sixty-three million, one hundred eighty thousand, thirteen".

Divisors: 1 3 9 1373 4119 12357 118409 355227 1065681 162575557 487726671 1463180013