Search a number
-
+
12436436992 = 21176731289
BaseRepresentation
bin10111001010100010…
…01111100000000000
31012002201100110100111
423211101033200000
5200432211440432
65414020001104
7620120653540
oct134521174000
935081313314
1012436436992
115302054201
1224b0b30194
1312326c2c75
1485d989320
154cbc30347
hex2e544f800

12436436992 has 96 divisors (see below), whose sum is σ = 28483509600. Its totient is φ = 5317853184.

The previous prime is 12436436941. The next prime is 12436437001. The reversal of 12436436992 is 29963463421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9647484 + ... + 9648772.

It is an arithmetic number, because the mean of its divisors is an integer number (296703225).

Almost surely, 212436436992 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 12436436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241754800).

12436436992 is an abundant number, since it is smaller than the sum of its proper divisors (16047072608).

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

12436436992 is an equidigital number, since it uses as much as digits as its factorization.

12436436992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1971 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

The spelling of 12436436992 in words is "twelve billion, four hundred thirty-six million, four hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 673 896 1024 1289 1346 1792 2048 2578 2692 3584 4711 5156 5384 7168 9023 9422 10312 10768 14336 18046 18844 20624 21536 36092 37688 41248 43072 72184 75376 82496 86144 144368 150752 164992 172288 288736 301504 329984 344576 577472 603008 659968 689152 867497 1154944 1206016 1319936 1378304 1734994 2309888 2412032 2639872 3469988 4619776 4824064 6072479 6939976 9239552 9648128 12144958 13879952 18479104 24289916 27759904 48579832 55519808 97159664 111039616 194319328 222079232 388638656 444158464 777277312 888316928 1554554624 1776633856 3109109248 6218218496 12436436992