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56544024060 = 223257913928607
BaseRepresentation
bin110100101010010010…
…010101010111111100
312101221122120001000100
4310222102111113330
51411300232232220
641550450401100
74041133163046
oct645222252774
9171848501010
1056544024060
1121a8669a1a7
12ab60590190
135441765c04
142a458b4a96
15170e13ed90
hexd2a4955fc

56544024060 has 144 divisors (see below), whose sum is σ = 174943641600. Its totient is φ = 14779919232.

The previous prime is 56544024049. The next prime is 56544024083. The reversal of 56544024060 is 6042044565.

56544024060 is a `hidden beast` number, since 56 + 544 + 0 + 2 + 4 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1962277 + ... + 1990883.

It is an arithmetic number, because the mean of its divisors is an integer number (1214886400).

Almost surely, 256544024060 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 56544024060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87471820800).

56544024060 is an abundant number, since it is smaller than the sum of its proper divisors (118399617540).

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

56544024060 is a wasteful number, since it uses less digits than its factorization.

56544024060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28840 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 56544024060 in words is "fifty-six billion, five hundred forty-four million, twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 139 158 180 237 278 316 395 417 474 556 695 711 790 834 948 1185 1251 1390 1422 1580 1668 2085 2370 2502 2780 2844 3555 4170 4740 5004 6255 7110 8340 10981 12510 14220 21962 25020 28607 32943 43924 54905 57214 65886 85821 98829 109810 114428 131772 143035 164715 171642 197658 219620 257463 286070 329430 343284 395316 429105 494145 514926 572140 658860 858210 988290 1029852 1287315 1716420 1976580 2259953 2574630 3976373 4519906 5149260 6779859 7952746 9039812 11299765 11929119 13559718 15905492 19881865 20339577 22599530 23858238 27119436 33899295 35787357 39763730 40679154 45199060 47716476 59645595 67798590 71574714 79527460 81358308 101697885 119291190 135597180 143149428 178936785 203395770 238582380 314133467 357873570 406791540 628266934 715747140 942400401 1256533868 1570667335 1884800802 2827201203 3141334670 3769601604 4712002005 5654402406 6282669340 9424004010 11308804812 14136006015 18848008020 28272012030 56544024060