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84808226624 = 26117912712007
BaseRepresentation
bin100111011111011110…
…1101101011101000000
322002220102122021221112
41032332331231131000
52342141401222444
6102543234342452
76061425014012
oct1167675553500
9262812567845
1084808226624
1132a7003a9a0
121452a12aa28
137cc7329a24
14416759a1b2
15231569369e
hex13bef6d740

84808226624 has 112 divisors (see below), whose sum is σ = 187393966080. Its totient is φ = 37758389760.

The previous prime is 84808226579. The next prime is 84808226677. The reversal of 84808226624 is 42662280848.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7057229 + ... + 7069235.

Almost surely, 284808226624 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 84808226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93696983040).

84808226624 is an abundant number, since it is smaller than the sum of its proper divisors (102585739456).

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

84808226624 is a wasteful number, since it uses less digits than its factorization.

84808226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12236 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 84808226624 in words is "eighty-four billion, eight hundred eight million, two hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 127 158 176 254 316 352 508 632 704 869 1016 1264 1397 1738 2032 2528 2794 3476 4064 5056 5588 6952 8128 10033 11176 12007 13904 20066 22352 24014 27808 40132 44704 48028 55616 80264 89408 96056 110363 132077 160528 192112 220726 264154 321056 384224 441452 528308 642112 768448 882904 948553 1056616 1524889 1765808 1897106 2113232 3049778 3531616 3794212 4226464 6099556 7063232 7588424 8452928 10434083 12199112 15176848 16773779 20868166 24398224 30353696 33547558 41736332 48796448 60707392 67095116 83472664 97592896 120466231 134190232 166945328 240932462 268380464 333890656 481864924 536760928 667781312 963729848 1073521856 1325128541 1927459696 2650257082 3854919392 5300514164 7709838784 10601028328 21202056656 42404113312 84808226624