Search a number
-
+
12649436928 = 2835203341
BaseRepresentation
bin10111100011111011…
…10001011100000000
31012122120010222100000
423301331301130000
5201401223440203
65451105200000
7625315303602
oct136175613400
935576128300
1012649436928
115401306207
122550330000
13126787c42b
1487dd93172
154e07a64a3
hex2f1f71700

12649436928 has 108 divisors (see below), whose sum is σ = 37822425368. Its totient is φ = 4216458240.

The previous prime is 12649436909. The next prime is 12649436929. The reversal of 12649436928 is 82963494621.

12649436928 is a `hidden beast` number, since 126 + 494 + 3 + 6 + 9 + 28 = 666.

12649436928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12649436929) 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 11 ways as a sum of consecutive naturals, for example, 39463 + ... + 163878.

Almost surely, 212649436928 is an apocalyptic number.

12649436928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12649436928 is an abundant number, since it is smaller than the sum of its proper divisors (25172988440).

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

12649436928 is an frugal number, since it uses more digits than its factorization.

12649436928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203372 (or 203346 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 12649436928 in words is "twelve billion, six hundred forty-nine million, four hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 203341 406682 610023 813364 1220046 1626728 1830069 2440092 3253456 3660138 4880184 5490207 6506912 7320276 9760368 10980414 13013824 14640552 16470621 19520736 21960828 26027648 29281104 32941242 39041472 43921656 49411863 52055296 58562208 65882484 78082944 87843312 98823726 117124416 131764968 156165888 175686624 197647452 234248832 263529936 351373248 395294904 468497664 527059872 702746496 790589808 1054119744 1405492992 1581179616 2108239488 3162359232 4216478976 6324718464 12649436928