Search a number
-
+
12337346320 = 2451348724359
BaseRepresentation
bin10110111110101110…
…01111011100010000
31011211210220010111121
423133113033130100
5200231330040240
65400120052024
7614505466465
oct133727173420
934753803447
1012337346320
115261123992
122483904014
13121800a330
1485075366c
154c31aa04a
hex2df5cf710

12337346320 has 80 divisors (see below), whose sum is σ = 30955518720. Its totient is φ = 4545787392.

The previous prime is 12337346317. The next prime is 12337346321. The reversal of 12337346320 is 2364373321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123373463202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12337346321) 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, 494301 + ... + 518659.

It is an arithmetic number, because the mean of its divisors is an integer number (386943984).

Almost surely, 212337346320 is an apocalyptic number.

12337346320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12337346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477759360).

12337346320 is an abundant number, since it is smaller than the sum of its proper divisors (18618172400).

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

12337346320 is a wasteful number, since it uses less digits than its factorization.

12337346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24872 (or 24866 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

The spelling of 12337346320 in words is "twelve billion, three hundred thirty-seven million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 487 520 974 1040 1948 2435 3896 4870 6331 7792 9740 12662 19480 24359 25324 31655 38960 48718 50648 63310 97436 101296 121795 126620 194872 243590 253240 316667 389744 487180 506480 633334 974360 1266668 1583335 1948720 2533336 3166670 5066672 6333340 11862833 12666680 23725666 25333360 47451332 59314165 94902664 118628330 154216829 189805328 237256660 308433658 474513320 616867316 771084145 949026640 1233734632 1542168290 2467469264 3084336580 6168673160 12337346320