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56840073442722 = 236331495123789
BaseRepresentation
bin11001110110010000111000…
…11000101111010110100010
321110020212011110002101000000
430323020130120233112202
524422231432300131342
6320515545205440430
714654363002401003
oct1473103430572642
9243225143071000
1056840073442722
1117124815705939
12645bba1710116
132593cc408750b
1410071079a71aa
1568881a07c44c
hex33b21c62f5a2

56840073442722 has 112 divisors (see below), whose sum is σ = 128249174514240. Its totient is φ = 18884841228000.

The previous prime is 56840073442721. The next prime is 56840073442751. The reversal of 56840073442722 is 22724437004865.

56840073442722 is a `hidden beast` number, since 5 + 68 + 4 + 0 + 0 + 73 + 442 + 72 + 2 = 666.

56840073442722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56840073442721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2389330804 + ... + 2389354592.

Almost surely, 256840073442722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56840073442722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64124587257120).

56840073442722 is an abundant number, since it is smaller than the sum of its proper divisors (71409101071518).

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

56840073442722 is a wasteful number, since it uses less digits than its factorization.

56840073442722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29091 (or 29076 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 56840073442722 in words is "fifty-six trillion, eight hundred forty billion, seventy-three million, four hundred forty-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 331 486 662 729 993 1458 1986 2979 4951 5958 8937 9902 14853 17874 23789 26811 29706 44559 47578 53622 71367 80433 89118 133677 142734 160866 214101 241299 267354 401031 428202 482598 642303 802062 1203093 1284606 1638781 1926909 2406186 3277562 3609279 3853818 4916343 5780727 7218558 7874159 9832686 11561454 14749029 15748318 17342181 23622477 29498058 34684362 44247087 47244954 70867431 88494174 117779339 132741261 141734862 212602293 235558678 265482522 353338017 398223783 425204586 637806879 706676034 796447566 1060014051 1194671349 1275613758 1913420637 2120028102 2389342698 3180042153 3826841274 5740261911 6360084306 9540126459 11480523822 19080252918 28620379377 38984961209 57240758754 77969922418 85861138131 116954883627 171722276262 233909767254 350864650881 701729301762 1052593952643 2105187905286 3157781857929 6315563715858 9473345573787 18946691147574 28420036721361 56840073442722