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12342533010516 = 22323074092730487
BaseRepresentation
bin1011001110011011100001…
…0010111011010001010100
31121200221020100100221020100
42303212320102323101110
53104210001422314031
642130025325134100
72412501321402102
oct263467022732124
947627210327210
1012342533010516
113a2949112a465
1214740953ba330
136b6b852ba527
1430954b892c72
151660ce662de6
hexb39b84bb454

12342533010516 has 72 divisors (see below), whose sum is σ = 31377348242240. Its totient is φ = 4090748593536.

The previous prime is 12342533010491. The next prime is 12342533010523. The reversal of 12342533010516 is 61501033524321.

12342533010516 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 533 + 0 + 105 + 16 = 666.

12342533010516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123425330105162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3155025 + ... + 5885511.

Almost surely, 212342533010516 is an apocalyptic number.

It is an amenable number.

12342533010516 is an abundant number, since it is smaller than the sum of its proper divisors (19034815231724).

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

12342533010516 is a wasteful number, since it uses less digits than its factorization.

12342533010516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731213 (or 2731208 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12342533010516 its reverse (61501033524321), we get a palindrome (73843566534837).

The spelling of 12342533010516 in words is "twelve trillion, three hundred forty-two billion, five hundred thirty-three million, ten thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 307 409 614 818 921 1227 1228 1636 1842 2454 2763 3681 3684 4908 5526 7362 11052 14724 125563 251126 376689 502252 753378 1130067 1506756 2260134 2730487 4520268 5460974 8191461 10921948 16382922 24574383 32765844 49148766 98297532 838259509 1116769183 1676519018 2233538366 2514778527 3350307549 3353038036 4467076732 5029557054 6700615098 7544335581 10050922647 10059114108 13401230196 15088671162 20101845294 30177342324 40203690588 342848139181 685696278362 1028544417543 1371392556724 2057088835086 3085633252629 4114177670172 6171266505258 12342533010516