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84722126064 = 24311322968209
BaseRepresentation
bin100111011100111010…
…1010000110011110000
322002200102121221011220
41032321311100303300
52342002331013224
6102530521105040
76056331121662
oct1167165206360
9262612557156
1084722126064
1132a26482304
1214505328180
137cb2541954
144159d86532
15230cd37279
hex13b9d50cf0

84722126064 has 80 divisors (see below), whose sum is σ = 221769808800. Its totient is φ = 27868151808.

The previous prime is 84722126063. The next prime is 84722126087. The reversal of 84722126064 is 46062122748.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84722126063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207992 + ... + 1276200.

It is an arithmetic number, because the mean of its divisors is an integer number (2772122610).

Almost surely, 284722126064 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 84722126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110884904400).

84722126064 is an abundant number, since it is smaller than the sum of its proper divisors (137047682736).

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

84722126064 is a wasteful number, since it uses less digits than its factorization.

84722126064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68562 (or 68556 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 84722126064 in words is "eighty-four billion, seven hundred twenty-two million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 229 339 452 458 678 687 904 916 1356 1374 1808 1832 2712 2748 3664 5424 5496 10992 25877 51754 68209 77631 103508 136418 155262 204627 207016 272836 310524 409254 414032 545672 621048 818508 1091344 1242096 1637016 3274032 7707617 15415234 15619861 23122851 30830468 31239722 46245702 46859583 61660936 62479444 92491404 93719166 123321872 124958888 184982808 187438332 249917776 369965616 374876664 749753328 1765044293 3530088586 5295132879 7060177172 10590265758 14120354344 21180531516 28240708688 42361063032 84722126064