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12041603552 = 25111912714177
BaseRepresentation
bin10110011011011110…
…00100100111100000
31011002012101211200202
423031233010213200
5144130122303202
65310513204332
7604254640616
oct131557044740
934065354622
1012041603552
11511a197a80
1224008606a8
13119b970204
1482336b6b6
154a723c802
hex2cdbc49e0

12041603552 has 96 divisors (see below), whose sum is σ = 27439534080. Its totient is φ = 5144186880.

The previous prime is 12041603549. The next prime is 12041603579. The reversal of 12041603552 is 25530614021.

12041603552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120416035522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 842288 + ... + 856464.

It is an arithmetic number, because the mean of its divisors is an integer number (285828480).

Almost surely, 212041603552 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 12041603552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719767040).

12041603552 is an abundant number, since it is smaller than the sum of its proper divisors (15397930528).

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

12041603552 is a wasteful number, since it uses less digits than its factorization.

12041603552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 12041603552 in words is "twelve billion, forty-one million, six hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 127 152 176 209 254 304 352 418 508 608 836 1016 1397 1672 2032 2413 2794 3344 4064 4826 5588 6688 9652 11176 14177 19304 22352 26543 28354 38608 44704 53086 56708 77216 106172 113416 155947 212344 226832 269363 311894 424688 453664 538726 623788 849376 1077452 1247576 1800479 2154904 2495152 2962993 3600958 4309808 4990304 5925986 7201916 8619616 11851972 14403832 19805269 23703944 28807664 34209101 39610538 47407888 57615328 68418202 79221076 94815776 136836404 158442152 273672808 316884304 376300111 547345616 633768608 752600222 1094691232 1505200444 3010400888 6020801776 12041603552