Search a number
-
+
12654935244 = 22327359139883
BaseRepresentation
bin10111100100100101…
…01111110011001100
31012122221111022121100
423302102233303030
5201404130411434
65451423103100
7625413113640
oct136222576314
935587438540
1012654935244
115404421176
122552141a90
131268a55c83
148809c4c20
154e0ee0699
hex2f24afccc

12654935244 has 72 divisors (see below), whose sum is σ = 36660798720. Its totient is φ = 3605598432.

The previous prime is 12654935243. The next prime is 12654935273. The reversal of 12654935244 is 44253945621.

12654935244 is a `hidden beast` number, since 12 + 6 + 549 + 3 + 52 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12654935244.

It is not an unprimeable number, because it can be changed into a prime (12654935243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20527 + ... + 160409.

It is an arithmetic number, because the mean of its divisors is an integer number (509177760).

Almost surely, 212654935244 is an apocalyptic number.

12654935244 is a gapful number since it is divisible by the number (14) 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 12654935244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330399360).

12654935244 is an abundant number, since it is smaller than the sum of its proper divisors (24005863476).

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

12654935244 is a wasteful number, since it uses less digits than its factorization.

12654935244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140259 (or 140254 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 12654935244 in words is "twelve billion, six hundred fifty-four million, nine hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 718 1077 1436 2154 2513 3231 4308 5026 6462 7539 10052 12924 15078 22617 30156 45234 90468 139883 279766 419649 559532 839298 979181 1258947 1678596 1958362 2517894 2937543 3916724 5035788 5875086 8812629 11750172 17625258 35250516 50217997 100435994 150653991 200871988 301307982 351525979 451961973 602615964 703051958 903923946 1054577937 1406103916 1807847892 2109155874 3163733811 4218311748 6327467622 12654935244