Search a number
-
+
123617346916 = 22753118770177
BaseRepresentation
bin111001100100000101…
…0110000010101100100
3102211002002211212121011
41303020022300111210
54011132020100131
6132442232432004
711634232053220
oct1631012602544
9384062755534
10123617346916
1148475851428
121bb5b248604
13b87075c12b
145da992d780
1533378420b1
hex1cc82b0564

123617346916 has 48 divisors (see below), whose sum is σ = 252115307136. Its totient is φ = 51934731264.

The previous prime is 123617346883. The next prime is 123617346929. The reversal of 123617346916 is 619643716321.

It is a super-2 number, since 2×1236173469162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123617346916.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726420 + ... + 1796596.

It is an arithmetic number, because the mean of its divisors is an integer number (5252402232).

Almost surely, 2123617346916 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 123617346916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126057653568).

123617346916 is an abundant number, since it is smaller than the sum of its proper divisors (128497960220).

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

123617346916 is a wasteful number, since it uses less digits than its factorization.

123617346916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71428 (or 71426 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The spelling of 123617346916 in words is "one hundred twenty-three billion, six hundred seventeen million, three hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1187 1484 2374 4748 8309 16618 33236 62911 70177 125822 140354 251644 280708 440377 491239 880754 982478 1761508 1964956 3719381 7438762 14877524 26035667 52071334 83300099 104142668 166600198 333200396 583100693 1166201386 2332402772 4414905247 8829810494 17659620988 30904336729 61808673458 123617346916