Search a number
-
+
11538026496 = 21232312989
BaseRepresentation
bin10101011111011100…
…00101000000000000
31002210002211110211200
422233232011000000
5142112213321441
65144523541200
7555631415133
oct125756050000
932702743750
1011538026496
114990a08097
1222a008a800
13111b534c19
147b652421a
15477e197b6
hex2afb85000

11538026496 has 78 divisors (see below), whose sum is σ = 33328114170. Its totient is φ = 3845996544.

The previous prime is 11538026473. The next prime is 11538026501. The reversal of 11538026496 is 69462083511.

11538026496 is a `hidden beast` number, since 1 + 1 + 5 + 380 + 264 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10472656896 + 1065369600 = 102336^2 + 32640^2 .

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 5 ways as a sum of consecutive naturals, for example, 119631 + ... + 193358.

It is an arithmetic number, because the mean of its divisors is an integer number (427283515).

Almost surely, 211538026496 is an apocalyptic number.

11538026496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11538026496 is an abundant number, since it is smaller than the sum of its proper divisors (21790087674).

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

11538026496 is an equidigital number, since it uses as much as digits as its factorization.

11538026496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313019 (or 312994 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11538026496 in words is "eleven billion, five hundred thirty-eight million, twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 312989 625978 938967 1251956 1877934 2503912 2816901 3755868 5007824 5633802 7511736 10015648 11267604 15023472 20031296 22535208 30046944 40062592 45070416 60093888 80125184 90140832 120187776 160250368 180281664 240375552 320500736 360563328 480751104 641001472 721126656 961502208 1282002944 1442253312 1923004416 2884506624 3846008832 5769013248 11538026496