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12440233536 = 263313756489
BaseRepresentation
bin10111001010111111…
…01110011001000000
31012002222111100020020
423211133232121000
5200434144433121
65414233213440
7620165145303
oct134537563100
935088440206
1012440233536
115304207645
1224b2261280
131233422043
14860296b3a
154cc2301c6
hex2e57ee640

12440233536 has 112 divisors (see below), whose sum is σ = 34895454720. Its totient is φ = 3904450560.

The previous prime is 12440233523. The next prime is 12440233541. The reversal of 12440233536 is 63533204421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12440233497 and 12440233506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191980 + ... + 248468.

It is an arithmetic number, because the mean of its divisors is an integer number (311566560).

Almost surely, 212440233536 is an apocalyptic number.

12440233536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447727360).

12440233536 is an abundant number, since it is smaller than the sum of its proper divisors (22455221184).

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

12440233536 is a wasteful number, since it uses less digits than its factorization.

12440233536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56572 (or 56562 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 12440233536 its reverse (63533204421), we get a palindrome (75973437957).

The spelling of 12440233536 in words is "twelve billion, four hundred forty million, two hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 18352 27528 36704 55056 56489 73408 110112 112978 169467 220224 225956 338934 451912 677868 903824 1355736 1751159 1807648 2090093 2711472 3502318 3615296 4180186 5253477 5422944 6270279 7004636 8360372 10506954 10845888 12540558 14009272 16720744 21013908 25081116 28018544 33441488 42027816 50162232 56037088 64792883 66882976 84055632 100324464 112074176 129585766 133765952 168111264 194378649 200648928 259171532 336222528 388757298 401297856 518343064 777514596 1036686128 1555029192 2073372256 3110058384 4146744512 6220116768 12440233536