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82217771532 = 223213571307669
BaseRepresentation
bin100110010010010001…
…1111010001000001100
321212012220020112121100
41030210203322020030
52321340222142112
6101434220103100
75640301345551
oct1144443721014
9255186215540
1082217771532
1131960874716
1213b26694a90
1379a3749470
143d9d520a28
15221304b2dc
hex13248fa20c

82217771532 has 72 divisors (see below), whose sum is σ = 224207743760. Its totient is φ = 25253389440.

The previous prime is 82217771513. The next prime is 82217771533. The reversal of 82217771532 is 23517771228.

It is not an unprimeable number, because it can be changed into a prime (82217771533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113394 + ... + 421062.

Almost surely, 282217771532 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 82217771532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112103871880).

82217771532 is an abundant number, since it is smaller than the sum of its proper divisors (141989972228).

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

82217771532 is a wasteful number, since it uses less digits than its factorization.

82217771532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308263 (or 308258 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The spelling of 82217771532 in words is "eighty-two billion, two hundred seventeen million, seven hundred seventy-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 571 1142 1713 2284 3426 5139 6852 7423 10278 14846 20556 22269 29692 44538 66807 89076 133614 267228 307669 615338 923007 1230676 1846014 2769021 3692028 3999697 5538042 7999394 11076084 11999091 15998788 23998182 35997273 47996364 71994546 143989092 175678999 351357998 527036997 702715996 1054073994 1581110991 2108147988 2283826987 3162221982 4567653974 6324443964 6851480961 9135307948 13702961922 20554442883 27405923844 41108885766 82217771532