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12536791728 = 2434143148147
BaseRepresentation
bin10111010110100000…
…00100001010110000
31012100201012000011120
423223100010022300
5201133404313403
65432002542240
7622446654126
oct135320041260
935321160146
1012536791728
1153537681aa
12251a667980
13124a42c076
1486d02d916
154d5954e53
hex2eb4042b0

12536791728 has 80 divisors (see below), whose sum is σ = 33948410496. Its totient is φ = 3982164480.

The previous prime is 12536791721. The next prime is 12536791741. The reversal of 12536791728 is 82719763521.

It is a super-2 number, since 2×125367917282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12536791721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10551 + ... + 158697.

Almost surely, 212536791728 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 12536791728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974205248).

12536791728 is an abundant number, since it is smaller than the sum of its proper divisors (21411618768).

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

12536791728 is a wasteful number, since it uses less digits than its factorization.

12536791728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148242 (or 148236 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 12536791728 in words is "twelve billion, five hundred thirty-six million, seven hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 82 86 123 129 164 172 246 258 328 344 492 516 656 688 984 1032 1763 1968 2064 3526 5289 7052 10578 14104 21156 28208 42312 84624 148147 296294 444441 592588 888882 1185176 1777764 2370352 3555528 6074027 6370321 7111056 12148054 12740642 18222081 19110963 24296108 25481284 36444162 38221926 48592216 50962568 72888324 76443852 97184432 101925136 145776648 152887704 261183161 291553296 305775408 522366322 783549483 1044732644 1567098966 2089465288 3134197932 4178930576 6268395864 12536791728