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84848248296 = 233272197122081
BaseRepresentation
bin100111100000101011…
…0011000010111101000
322010000012221121100200
41033001112120113220
52342232122421141
6102551224232200
76062422132200
oct1170126302750
9263005847320
1084848248296
1132a90695859
121453b60b660
1380027003a6
14416ca17400
152318e4bab6
hex13c15985e8

84848248296 has 144 divisors (see below), whose sum is σ = 268674403140. Its totient is φ = 24119101440.

The previous prime is 84848248271. The next prime is 84848248297. The reversal of 84848248296 is 69284284848.

It can be written as a sum of positive squares in 2 ways, for example, as 84398384196 + 449864100 = 290514^2 + 21210^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84848248297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633976 + ... + 756056.

Almost surely, 284848248296 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 84848248296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134337201570).

84848248296 is an abundant number, since it is smaller than the sum of its proper divisors (183826154844).

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

84848248296 is a wasteful number, since it uses less digits than its factorization.

84848248296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122304 (or 122290 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The spelling of 84848248296 in words is "eighty-four billion, eight hundred forty-eight million, two hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 197 252 294 392 394 441 504 588 591 788 882 1176 1182 1379 1576 1764 1773 2364 2758 3528 3546 4137 4728 5516 7092 8274 9653 11032 12411 14184 16548 19306 24822 28959 33096 38612 49644 57918 77224 86877 99288 115836 122081 173754 231672 244162 347508 366243 488324 695016 732486 854567 976648 1098729 1464972 1709134 2197458 2563701 2929944 3418268 4394916 5127402 5981969 6836536 7691103 8789832 10254804 11963938 15382206 17945907 20509608 23927876 24049957 30764412 35891814 47855752 48099914 53837721 61528824 71783628 72149871 96199828 107675442 143567256 144299742 168349699 192399656 215350884 216449613 288599484 336699398 430701768 432899226 505049097 577198968 673398796 865798452 1010098194 1178447893 1346797592 1515147291 1731596904 2020196388 2356895786 3030294582 3535343679 4040392776 4713791572 6060589164 7070687358 9427583144 10606031037 12121178328 14141374716 21212062074 28282749432 42424124148 84848248296