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82236007296 = 273323795141
BaseRepresentation
bin100110010010110100…
…1011110001110000000
321212021011120000101000
41030211221132032000
52321404404213141
6101440111012000
75640612346212
oct1144551361600
9255234500330
1082236007296
113197009a4a3
1213b3080a000
1379a7462861
143da1b0a5b2
15221494e5b6
hex1325a5e380

82236007296 has 64 divisors (see below), whose sum is σ = 242710448400. Its totient is φ = 27412001280.

The previous prime is 82236007291. The next prime is 82236007297. The reversal of 82236007296 is 69270063228.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82236007291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11894115 + ... + 11901026.

Almost surely, 282236007296 is an apocalyptic number.

It is an amenable number.

82236007296 is an abundant number, since it is smaller than the sum of its proper divisors (160474441104).

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

82236007296 is a wasteful number, since it uses less digits than its factorization.

82236007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23795164 (or 23795146 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 82236007296 in words is "eighty-two billion, two hundred thirty-six million, seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 23795141 47590282 71385423 95180564 142770846 190361128 214156269 285541692 380722256 428312538 571083384 642468807 761444512 856625076 1142166768 1284937614 1522889024 1713250152 2284333536 2569875228 3045778048 3426500304 4568667072 5139750456 6853000608 9137334144 10279500912 13706001216 20559001824 27412002432 41118003648 82236007296