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20345032332216 = 2333179797660227
BaseRepresentation
bin1001010000000111100100…
…11011001101001110111000
32200000222002021200000221000
410220003302123031032320
510131313111234112331
6111134213454245000
74166610603323454
oct450036233151670
980028067600830
1020345032332216
1165343093a3019
1223470061b6760
13b476b3934167
145049c2047664
1525434ac1d0e6
hex1280f26cd3b8

20345032332216 has 128 divisors (see below), whose sum is σ = 56901089952000. Its totient is φ = 6735319307136.

The previous prime is 20345032332173. The next prime is 20345032332293. The reversal of 20345032332216 is 61223323054302.

It is a happy number.

20345032332216 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 5 + 0 + 323 + 322 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30485095 + ... + 31145321.

It is an arithmetic number, because the mean of its divisors is an integer number (444539765250).

Almost surely, 220345032332216 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 20345032332216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28450544976000).

20345032332216 is an abundant number, since it is smaller than the sum of its proper divisors (36556057619784).

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

20345032332216 is a wasteful number, since it uses less digits than its factorization.

20345032332216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661218 (or 661208 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 20345032332216 its reverse (61223323054302), we get a palindrome (81568355386518).

The spelling of 20345032332216 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, three hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 797 1074 1432 1594 1611 2148 2391 3188 3222 4296 4782 4833 6376 6444 7173 9564 9666 12888 14346 19128 19332 21519 28692 38664 43038 57384 86076 142663 172152 285326 427989 570652 660227 855978 1141304 1283967 1320454 1711956 1980681 2567934 2640908 3423912 3851901 3961362 5135868 5281816 5942043 7703802 7922724 10271736 11884086 15407604 15845448 17826129 23768172 30815208 35652258 47536344 71304516 118180633 142609032 236361266 354541899 472722532 526200919 709083798 945445064 1052401838 1063625697 1418167596 1578602757 2104803676 2127251394 2836335192 3157205514 3190877091 4209607352 4254502788 4735808271 6314411028 6381754182 8509005576 9471616542 12628822056 12763508364 14207424813 18943233084 25527016728 28414849626 37886466168 56829699252 94189964501 113659398504 188379929002 282569893503 376759858004 565139787006 753519716008 847709680509 1130279574012 1695419361018 2260559148024 2543129041527 3390838722036 5086258083054 6781677444072 10172516166108 20345032332216