Search a number
-
+
12338080950 = 23521320633067
BaseRepresentation
bin10110111110110100…
…00010110010110110
31011211212021110020010
423133122002302312
5200232022042300
65400143521050
7614514646326
oct133732026266
934755243203
1012338080950
115261585918
122483bb9186
131218206820
148508a5286
154c32a2a50
hex2df682cb6

12338080950 has 96 divisors (see below), whose sum is σ = 32978889216. Its totient is φ = 3034604160.

The previous prime is 12338080907. The next prime is 12338080987. The reversal of 12338080950 is 5908083321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12338080899 and 12338080908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4021317 + ... + 4024383.

It is an arithmetic number, because the mean of its divisors is an integer number (343530096).

Almost surely, 212338080950 is an apocalyptic number.

12338080950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12338080950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489444608).

12338080950 is an abundant number, since it is smaller than the sum of its proper divisors (20640808266).

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

12338080950 is a wasteful number, since it uses less digits than its factorization.

12338080950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 12338080950 in words is "twelve billion, three hundred thirty-eight million, eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 2063 3067 4126 6134 6189 9201 10315 12378 15335 18402 20630 26819 30670 30945 39871 46005 51575 53638 61890 76675 79742 80457 92010 103150 119613 134095 153350 154725 160914 199355 230025 239226 268190 309450 398710 402285 460050 598065 670475 804570 996775 1196130 1340950 1993550 2011425 2990325 4022850 5980650 6327221 12654442 18981663 31636105 37963326 63272210 82253873 94908315 158180525 164507746 189816630 246761619 316361050 411269365 474541575 493523238 822538730 949083150 1233808095 2056346825 2467616190 4112693650 6169040475 12338080950