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82507888536 = 23317234492
BaseRepresentation
bin100110011010111011…
…0100111011110011000
321212222010011000022120
41030311312213132120
52322434004413121
6101523102221240
75650423323663
oct1146566473630
9255863130276
1082507888536
1131a9a608937
1213ba7884820
137a1b896a28
143dc9c806da
15222d756bc6
hex1335da7798

82507888536 has 72 divisors (see below), whose sum is σ = 219180519420. Its totient is φ = 25877322752.

The previous prime is 82507888511. The next prime is 82507888537. The reversal of 82507888536 is 63588870528.

It is a happy number.

It is a super-4 number, since 4×825078885364 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 82507888536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507888537) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23920540 + ... + 23923988.

Almost surely, 282507888536 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 82507888536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109590259710).

82507888536 is an abundant number, since it is smaller than the sum of its proper divisors (136672630884).

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

82507888536 is an equidigital number, since it uses as much as digits as its factorization.

82507888536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 82507888536 in words is "eighty-two billion, five hundred seven million, eight hundred eighty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3449 3468 6898 6936 10347 13796 20694 27592 41388 58633 82776 117266 175899 234532 351798 469064 703596 996761 1407192 1993522 2990283 3987044 5980566 7974088 11895601 11961132 23791202 23922264 35686803 47582404 71373606 95164808 142747212 202225217 285494424 404450434 606675651 808900868 1213351302 1617801736 2426702604 3437828689 4853405208 6875657378 10313486067 13751314756 20626972134 27502629512 41253944268 82507888536