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82353737312 = 25711307108869
BaseRepresentation
bin100110010110010101…
…0100100111001100000
321212120101002022120222
41030230222210321200
52322130024043222
6101455514222212
75643542134340
oct1145452447140
9255511068528
1082353737312
1131a205a0830
1213b64124968
1379c59734a2
143db35d4d20
15221ee57542
hex132caa4e60

82353737312 has 96 divisors (see below), whose sum is σ = 202801294080. Its totient is φ = 31981063680.

The previous prime is 82353737293. The next prime is 82353737317. The reversal of 82353737312 is 21373735328.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353737317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702014 + ... + 810882.

It is an arithmetic number, because the mean of its divisors is an integer number (2112513480).

Almost surely, 282353737312 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 82353737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101400647040).

82353737312 is an abundant number, since it is smaller than the sum of its proper divisors (120447556768).

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

82353737312 is a wasteful number, since it uses less digits than its factorization.

82353737312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109204 (or 109196 counting only the distinct ones).

The product of its digits is 635040, while the sum is 44.

The spelling of 82353737312 in words is "eighty-two billion, three hundred fifty-three million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 307 308 352 614 616 1228 1232 2149 2456 2464 3377 4298 4912 6754 8596 9824 13508 17192 23639 27016 34384 47278 54032 68768 94556 108064 108869 189112 217738 378224 435476 756448 762083 870952 1197559 1524166 1741904 2395118 3048332 3483808 4790236 6096664 8382913 9580472 12193328 16765826 19160944 24386656 33422783 33531652 38321888 66845566 67063304 133691132 134126608 233959481 267382264 268253216 367650613 467918962 534764528 735301226 935837924 1069529056 1470602452 1871675848 2573554291 2941204904 3743351696 5147108582 5882409808 7486703392 10294217164 11764819616 20588434328 41176868656 82353737312