Search a number
-
+
12740473176 = 2336189277353
BaseRepresentation
bin10111101110110010…
…00011000101011000
31012212220110002120220
423313121003011120
5202043030120201
65504120320040
7630502143444
oct136731030530
935786402526
1012740473176
115448735082
122576913020
1312806a4c32
1488c0cd824
154e878a036
hex2f7643158

12740473176 has 128 divisors (see below), whose sum is σ = 32948337600. Its totient is φ = 4103700480.

The previous prime is 12740473171. The next prime is 12740473177. The reversal of 12740473176 is 67137404721.

It is a happy number.

12740473176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740473171) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36091816 + ... + 36092168.

Almost surely, 212740473176 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 12740473176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474168800).

12740473176 is an abundant number, since it is smaller than the sum of its proper divisors (20207864424).

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

12740473176 is a wasteful number, since it uses less digits than its factorization.

12740473176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

Adding to 12740473176 its reverse (67137404721), we get a palindrome (79877877897).

The spelling of 12740473176 in words is "twelve billion, seven hundred forty million, four hundred seventy-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 61 89 122 178 183 244 267 277 353 356 366 488 534 554 706 712 732 831 1059 1068 1108 1412 1464 1662 2118 2136 2216 2824 3324 4236 5429 6648 8472 10858 16287 16897 21533 21716 24653 31417 32574 33794 43066 43432 49306 50691 62834 64599 65148 67588 73959 86132 94251 97781 98612 101382 125668 129198 130296 135176 147918 172264 188502 195562 197224 202764 251336 258396 293343 295836 377004 391124 405528 516792 586686 591672 754008 782248 1173372 1503833 1916437 2346744 3007666 3832874 4511499 5749311 5964641 6015332 7665748 8702509 9022998 11498622 11929282 12030664 15331496 17405018 17893923 18045996 22997244 23858564 26107527 34810036 35787846 36091992 45994488 47717128 52215054 69620072 71575692 104430108 143151384 208860216 530853049 1061706098 1592559147 2123412196 3185118294 4246824392 6370236588 12740473176