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12017082532 = 22713192576761
BaseRepresentation
bin10110011000100011…
…00010000010100100
31011000111021001011211
423030101202002210
5144102333120112
65304235441204
7603536342020
oct131421420244
934014231154
1012017082532
115107369a74
1223b45b6204
131196866030
1481ddc7380
154a4ee70a7
hex2cc4620a4

12017082532 has 96 divisors (see below), whose sum is σ = 27355265280. Its totient is φ = 4485611520.

The previous prime is 12017082503. The next prime is 12017082559. The reversal of 12017082532 is 23528071021.

It is a super-3 number, since 3×120170825323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12017082494 and 12017082503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774032 + ... + 1780792.

It is an arithmetic number, because the mean of its divisors is an integer number (284950680).

Almost surely, 212017082532 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 12017082532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677632640).

12017082532 is an abundant number, since it is smaller than the sum of its proper divisors (15338182748).

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

12017082532 is a wasteful number, since it uses less digits than its factorization.

12017082532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 12017082532 in words is "twelve billion, seventeen million, eighty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 257 266 364 494 514 532 988 1028 1729 1799 3341 3458 3598 4883 6682 6761 6916 7196 9766 13364 13522 19532 23387 27044 34181 46774 47327 63479 68362 87893 93548 94654 126958 128459 136724 175786 189308 253916 256918 351572 444353 513836 615251 888706 899213 1230502 1669967 1737577 1777412 1798426 2461004 3339934 3475154 3596852 6679868 6950308 11689769 12163039 22588501 23379538 24326078 33013963 45177002 46759076 48652156 66027926 90354004 132055852 158119507 231097741 316239014 429181519 462195482 632478028 858363038 924390964 1716726076 3004270633 6008541266 12017082532