Search a number
-
+
12438412472 = 23193126310037
BaseRepresentation
bin10111001010110001…
…10001110010111000
31012002212001211012102
423211120301302320
5200433213144342
65414130202532
7620143522133
oct134530616270
935085054172
1012438412472
115303183432
1224b1723448
131232c351a5
1485dd4121a
154cbec0832
hex2e5631cb8

12438412472 has 64 divisors (see below), whose sum is σ = 25440307200. Its totient is φ = 5679573120.

The previous prime is 12438412463. The next prime is 12438412517. The reversal of 12438412472 is 27421483421.

12438412472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1234238 + ... + 1244274.

It is an arithmetic number, because the mean of its divisors is an integer number (397504800).

Almost surely, 212438412472 is an apocalyptic number.

It is an amenable number.

12438412472 is an abundant number, since it is smaller than the sum of its proper divisors (13001894728).

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

12438412472 is a wasteful number, since it uses less digits than its factorization.

12438412472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10352 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

Adding to 12438412472 its reverse (27421483421), we get a palindrome (39859895893).

The spelling of 12438412472 in words is "twelve billion, four hundred thirty-eight million, four hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 263 526 589 1052 1178 2104 2356 4712 4997 8153 9994 10037 16306 19988 20074 32612 39976 40148 65224 80296 154907 190703 309814 311147 381406 619628 622294 762812 1239256 1244588 1525624 2489176 2639731 5279462 5911793 10558924 11823586 21117848 23647172 47294344 50154889 81831661 100309778 163663322 200619556 327326644 401239112 654653288 1554801559 3109603118 6219206236 12438412472