Search a number
-
+
12431330680 = 2355913738449
BaseRepresentation
bin10111001001111011…
…10000110101111000
31012002100202000210211
423210331300311320
5200424410040210
65413314320504
7620026365406
oct134475606570
935070660724
1012431330680
1152aa18680a
1224ab289134
131231625992
1485d01a476
154cb57238a
hex2e4f70d78

12431330680 has 64 divisors (see below), whose sum is σ = 28652940000. Its totient is φ = 4852445184.

The previous prime is 12431330641. The next prime is 12431330689. The reversal of 12431330680 is 8603313421.

It is a super-3 number, since 3×124313306803 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431330689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 304096 + ... + 342544.

Almost surely, 212431330680 is an apocalyptic number.

12431330680 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 12431330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326470000).

12431330680 is an abundant number, since it is smaller than the sum of its proper divisors (16221609320).

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

12431330680 is a wasteful number, since it uses less digits than its factorization.

12431330680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38656 (or 38652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 12431330680 in words is "twelve billion, four hundred thirty-one million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 137 236 274 295 472 548 590 685 1096 1180 1370 2360 2740 5480 8083 16166 32332 38449 40415 64664 76898 80830 153796 161660 192245 307592 323320 384490 768980 1537960 2268491 4536982 5267513 9073964 10535026 11342455 18147928 21070052 22684910 26337565 42140104 45369820 52675130 90739640 105350260 210700520 310783267 621566534 1243133068 1553916335 2486266136 3107832670 6215665340 12431330680