Search a number
-
+
122916718356 = 223131915235099
BaseRepresentation
bin111001001111001101…
…0000100011100010100
3102202021021111020220020
41302132122010130110
54003213134441411
6132244523505140
711610663603315
oct1623632043424
9382237436806
10122916718356
1148146312863
121b9a46881b0
13b78b55c913
145d4087060c
1532e6098606
hex1c9e684714

122916718356 has 48 divisors (see below), whose sum is σ = 287267904000. Its totient is φ = 40906270432.

The previous prime is 122916718343. The next prime is 122916718363. The reversal of 122916718356 is 653817619221.

It is a junction number, because it is equal to n+sod(n) for n = 122916718299 and 122916718308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24103495 + ... + 24108593.

It is an arithmetic number, because the mean of its divisors is an integer number (5984748000).

Almost surely, 2122916718356 is an apocalyptic number.

It is an amenable number.

122916718356 is an abundant number, since it is smaller than the sum of its proper divisors (164351185644).

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

122916718356 is a wasteful number, since it uses less digits than its factorization.

122916718356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7946 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 122916718356 in words is "one hundred twenty-two billion, nine hundred sixteen million, seven hundred eighteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 1319 1523 2638 3046 3957 4569 5099 5276 6092 7914 9138 10198 15297 15828 18276 20396 30594 61188 2008837 4017674 6026511 6725581 7765777 8035348 12053022 13451162 15531554 20176743 23297331 24106044 26902324 31063108 40353486 46594662 80706972 93189324 10243059863 20486119726 30729179589 40972239452 61458359178 122916718356