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12478141530 = 234515405113
BaseRepresentation
bin10111001111100000…
…10101010001011010
31012012121211021020000
423213300111101122
5201023401012110
65422105513430
7621135311241
oct134760252132
935177737200
1012478141530
115323649468
122502aa2876
13123b2355ca
14865323958
154d071c1c0
hex2e7c1545a

12478141530 has 40 divisors (see below), whose sum is σ = 33552338292. Its totient is φ = 3327504192.

The previous prime is 12478141523. The next prime is 12478141537. The reversal of 12478141530 is 3514187421.

12478141530 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 81 + 41 + 530 = 666.

12478141530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12478141523) and next prime (12478141537).

It can be written as a sum of positive squares in 2 ways, for example, as 12268442169 + 209699361 = 110763^2 + 14481^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12478141537) 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 19 ways as a sum of consecutive naturals, for example, 7701747 + ... + 7703366.

Almost surely, 212478141530 is an apocalyptic number.

12478141530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12478141530 is an abundant number, since it is smaller than the sum of its proper divisors (21074196762).

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

12478141530 is a wasteful number, since it uses less digits than its factorization.

12478141530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405132 (or 15405123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12478141530 in words is "twelve billion, four hundred seventy-eight million, one hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 15405113 30810226 46215339 77025565 92430678 138646017 154051130 231076695 277292034 415938051 462153390 693230085 831876102 1247814153 1386460170 2079690255 2495628306 4159380510 6239070765 12478141530