Search a number
-
+
322345060634716 = 2272313726711367857
BaseRepresentation
bin100100101001010111100111…
…0110101011001000001011100
31120021022212221111201101110221
41021102233032311121001130
5314222300141010302331
63101323135422211124
7124616443046150320
oct11122571665310134
91507285844641427
10322345060634716
1193788855234419
12301a0770723aa4
1310ab30163cc782
145985826db9980
15273ee04c9a711
hex1252bced5905c

322345060634716 has 96 divisors (see below), whose sum is σ = 677884687183872. Its totient is φ = 131127709870080.

The previous prime is 322345060634713. The next prime is 322345060634717. The reversal of 322345060634716 is 617436060543223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322345060634713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234973060 + ... + 236340916.

It is an arithmetic number, because the mean of its divisors is an integer number (7061298824832).

Almost surely, 2322345060634716 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 322345060634716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338942343591936).

322345060634716 is an abundant number, since it is smaller than the sum of its proper divisors (355539626549156).

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

322345060634716 is a wasteful number, since it uses less digits than its factorization.

322345060634716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370699 (or 1370697 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 322345060634716 in words is "three hundred twenty-two trillion, three hundred forty-five billion, sixty million, six hundred thirty-four thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 137 161 274 322 548 644 959 1918 2671 3151 3836 5342 6302 10684 12604 18697 22057 37394 44114 61433 74788 88228 122866 245732 365927 430031 731854 860062 1367857 1463708 1720124 2561489 2735714 5122978 5471428 8416321 9574999 10245956 16832642 19149998 31460711 33665284 38299996 58914247 62921422 117828494 125842844 187396409 220224977 235656988 374792818 440449954 749585636 880899908 1311774863 2623549726 3653546047 4310117407 5247099452 7307092094 8620234814 14614184188 17240469628 25574822329 30170821849 51149644658 60341643698 84031559081 102299289316 120683287396 168063118162 336126236324 500535808439 588220913567 1001071616878 1176441827134 2002143233756 2352883654268 3503750659073 7007501318146 11512323594097 14015002636292 23024647188194 46049294376388 80586265158679 161172530317358 322345060634716