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12638000024 = 2313197387613
BaseRepresentation
bin10111100010100100…
…01001001110011000
31012121202121220211222
423301102021032120
5201340312000044
65450020111212
7625116141056
oct136122111630
935552556758
1012638000024
1153a5904521
122548535508
1312653a6830
1487c6571d6
154de7978ee
hex2f1489398

12638000024 has 64 divisors (see below), whose sum is σ = 27230431200. Its totient is φ = 5450167296.

The previous prime is 12638000021. The next prime is 12638000027. The reversal of 12638000024 is 42000083621.

It is an interprime number because it is at equal distance from previous prime (12638000021) and next prime (12638000027).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12637999957 and 12638000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100442 + ... + 188054.

Almost surely, 212638000024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12638000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615215600).

12638000024 is an abundant number, since it is smaller than the sum of its proper divisors (14592431176).

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

12638000024 is a wasteful number, since it uses less digits than its factorization.

12638000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87724 (or 87720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12638000024 its reverse (42000083621), we get a palindrome (54638083645).

The spelling of 12638000024 in words is "twelve billion, six hundred thirty-eight million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 19 26 38 52 73 76 104 146 152 247 292 494 584 949 988 1387 1898 1976 2774 3796 5548 7592 11096 18031 36062 72124 87613 144248 175226 350452 700904 1138969 1664647 2277938 3329294 4555876 6395749 6658588 9111752 12791498 13317176 21640411 25582996 43280822 51165992 83144737 86561644 121519231 166289474 173123288 243038462 332578948 486076924 665157896 972153848 1579750003 3159500006 6319000012 12638000024