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2177427320046 = 234112617466909
BaseRepresentation
bin11111101011111000110…
…010000010110011101110
321201011022122122120210000
4133223320302002303232
5241133332343220141
64344144000125130
7313212451561356
oct37537062026356
97634278576700
102177427320046
1176a494a58490
122b20000067a6
1312a43b1acb94
1477560b19b66
153b98e9005b6
hex1faf8c82cee

2177427320046 has 80 divisors (see below), whose sum is σ = 5324645375280. Its totient is φ = 659572917120.

The previous prime is 2177427320021. The next prime is 2177427320087. The reversal of 2177427320046 is 6400237247712.

2177427320046 is a `hidden beast` number, since 2 + 17 + 7 + 427 + 3 + 200 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2177427319983 and 2177427320010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4430040 + ... + 4896948.

It is an arithmetic number, because the mean of its divisors is an integer number (66558067191).

Almost surely, 22177427320046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2177427320046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662322687640).

2177427320046 is an abundant number, since it is smaller than the sum of its proper divisors (3147218055234).

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

2177427320046 is a wasteful number, since it uses less digits than its factorization.

2177427320046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469551 (or 469542 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 2177427320046 in words is "two trillion, one hundred seventy-seven billion, four hundred twenty-seven million, three hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2617 5234 7851 15702 23553 28787 47106 57574 70659 86361 141318 172722 211977 259083 423954 466909 518166 777249 933818 1400727 1554498 2331747 2801454 4202181 4663494 5135999 8404362 10271998 12606543 15407997 25213086 30815994 37819629 46223991 75639258 92447982 138671973 277343946 416015919 832031838 1221900853 2443801706 3665702559 7331405118 10997107677 13440909383 21994215354 26881818766 32991323031 40322728149 65982646062 80645456298 98973969093 120968184447 197947938186 241936368894 362904553341 725809106682 1088713660023 2177427320046