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12264242532 = 22367131116443
BaseRepresentation
bin10110110110000000…
…10111110101100100
31011122201100001221220
423123000113311210
5200104121230112
65344545140340
7612630225063
oct133300276544
934581301856
1012264242532
115223932a33
12246332a6b0
131205b22b59
14844b641da
154bba6998c
hex2db017d64

12264242532 has 48 divisors (see below), whose sum is σ = 29265637632. Its totient is φ = 3996289440.

The previous prime is 12264242521. The next prime is 12264242533. The reversal of 12264242532 is 23524246221.

12264242532 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-3 number, since 3×122642425323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12264242493 and 12264242502.

It is not an unprimeable number, because it can be changed into a prime (12264242533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47103 + ... + 163545.

It is an arithmetic number, because the mean of its divisors is an integer number (609700784).

Almost surely, 212264242532 is an apocalyptic number.

12264242532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12264242532 is an abundant number, since it is smaller than the sum of its proper divisors (17001395100).

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

12264242532 is a wasteful number, since it uses less digits than its factorization.

12264242532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116648 (or 116646 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 12264242532 its reverse (23524246221), we get a palindrome (35788488753).

The spelling of 12264242532 in words is "twelve billion, two hundred sixty-four million, two hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 131 134 201 262 268 393 402 524 786 804 1572 8777 17554 26331 35108 52662 105324 116443 232886 349329 465772 698658 1397316 7801681 15254033 15603362 23405043 30508066 31206724 45762099 46810086 61016132 91524198 93620172 183048396 1022020211 2044040422 3066060633 4088080844 6132121266 12264242532