Search a number
-
+
124682883312 = 24313308364811
BaseRepresentation
bin111010000011110101…
…1011101000011110000
3102220211100211201202010
41310013223131003300
54020322304231222
6133140054522520
712002521010301
oct1640753350360
9386740751663
10124682883312
1148972267719
12201b8066440
13b9b0434240
14606b25a7a8
15339b16b80c
hex1d07add0f0

124682883312 has 80 divisors (see below), whose sum is σ = 346992041088. Its totient is φ = 38350928640.

The previous prime is 124682883307. The next prime is 124682883317. The reversal of 124682883312 is 213388286421.

124682883312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (124682883307) and next prime (124682883317).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124682883317) 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, 1891387 + ... + 1956197.

Almost surely, 2124682883312 is an apocalyptic number.

124682883312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124682883312 is an abundant number, since it is smaller than the sum of its proper divisors (222309157776).

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

124682883312 is a wasteful number, since it uses less digits than its factorization.

124682883312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67918 (or 67912 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 124682883312 in words is "one hundred twenty-four billion, six hundred eighty-two million, eight hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3083 6166 9249 12332 18498 24664 36996 40079 49328 64811 73992 80158 120237 129622 147984 160316 194433 240474 259244 320632 388866 480948 518488 641264 777732 842543 961896 1036976 1555464 1685086 1923792 2527629 3110928 3370172 5055258 6740344 10110516 13480688 20221032 40442064 199812313 399624626 599436939 799249252 1198873878 1598498504 2397747756 2597560069 3196997008 4795495512 5195120138 7792680207 9590991024 10390240276 15585360414 20780480552 31170720828 41560961104 62341441656 124682883312