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2320983084992 = 2611131097923099
BaseRepresentation
bin100001110001100101010…
…111110100111111000000
322012212212022011001001012
4201301211113310333000
5301011333132204432
64534124522300052
7326454060465335
oct41614527647700
98185768131035
102320983084992
11815361497440
123159a4657628
1313ab386348b0
148049c6a098c
1540592896cb2
hex21c655f4fc0

2320983084992 has 112 divisors (see below), whose sum is σ = 5411620368000. Its totient is φ = 973708200960.

The previous prime is 2320983084991. The next prime is 2320983084997. The reversal of 2320983084992 is 2994803890232.

2320983084992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320983084991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100468259 + ... + 100491357.

It is an arithmetic number, because the mean of its divisors is an integer number (48318039000).

Almost surely, 22320983084992 is an apocalyptic number.

2320983084992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320983084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705810184000).

2320983084992 is an abundant number, since it is smaller than the sum of its proper divisors (3090637283008).

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

2320983084992 is a wasteful number, since it uses less digits than its factorization.

2320983084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34114 (or 34104 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 2320983084992 in words is "two trillion, three hundred twenty billion, nine hundred eighty-three million, eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 10979 21958 23099 43916 46198 87832 92396 120769 142727 175664 184792 241538 254089 285454 300287 351328 369584 483076 508178 570908 600574 702656 739168 966152 1016356 1141816 1201148 1478336 1569997 1932304 2032712 2283632 2402296 3139994 3303157 3864608 4065424 4567264 4804592 6279988 6606314 7729216 8130848 9134528 9609184 12559976 13212628 16261696 19218368 25119952 26425256 50239904 52850512 100479808 105701024 211402048 253603921 507207842 1014415684 2028831368 2789643131 3296850973 4057662736 5579286262 6593701946 8115325472 11158572524 13187403892 16230650944 22317145048 26374807784 36265360703 44634290096 52749615568 72530721406 89268580192 105499231136 145061442812 178537160384 210998462272 290122885624 580245771248 1160491542496 2320983084992