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122706616832 = 2911321372
BaseRepresentation
bin111001001000111100…
…0100110001000000000
3102201201122010222210022
41302101320212020000
54002300343214312
6132212020353012
711602533014402
oct1622170461000
9381648128708
10122706616832
1148048760438
121b946245768
13b756b797a7
145d209bcb72
1532d28e6172
hex1c91e26200

122706616832 has 90 divisors (see below), whose sum is σ = 249181195263. Its totient is φ = 60366487552.

The previous prime is 122706616819. The next prime is 122706616841. The reversal of 122706616832 is 238616607221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5895782656 + 116810834176 = 76784^2 + 341776^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247696.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 895668668 + ... + 895668804.

Almost surely, 2122706616832 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 122706616832

122706616832 is an abundant number, since it is smaller than the sum of its proper divisors (126474578431).

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

122706616832 is an frugal number, since it uses more digits than its factorization.

122706616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 122706616832 in words is "one hundred twenty-two billion, seven hundred six million, six hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 137 226 256 274 452 512 548 904 1096 1808 2192 3616 4384 7232 8768 12769 14464 15481 17536 18769 25538 28928 30962 35072 37538 51076 57856 61924 70144 75076 102152 123848 150152 204304 247696 300304 408608 495392 600608 817216 990784 1201216 1634432 1749353 1981568 2120897 2402432 3268864 3498706 3963136 4241794 4804864 6537728 6997412 7926272 8483588 9609728 13994824 16967176 27989648 33934352 55979296 67868704 111958592 135737408 223917184 239661361 271474816 447834368 479322722 542949632 895668736 958645444 1085899264 1917290888 3834581776 7669163552 15338327104 30676654208 61353308416 122706616832