Search a number
-
+
20160634752 = 273321127647
BaseRepresentation
bin10010110001101010…
…101101111110000000
31221001000210100201000
4102301222231332000
5312242110303002
613132304212000
71312412365536
oct226152557600
957030710630
1020160634752
118606175315
123aa790a000
131b93a5b29b
14d9377c156
157cedeb61c
hex4b1aadf80

20160634752 has 128 divisors (see below), whose sum is σ = 59786035200. Its totient is φ = 6688120320.

The previous prime is 20160634733. The next prime is 20160634801. The reversal of 20160634752 is 25743606102.

20160634752 is a `hidden beast` number, since 2 + 0 + 1 + 606 + 3 + 47 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715393 + ... + 743039.

It is an arithmetic number, because the mean of its divisors is an integer number (467078400).

Almost surely, 220160634752 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 20160634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893017600).

20160634752 is an abundant number, since it is smaller than the sum of its proper divisors (39625400448).

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

20160634752 is a wasteful number, since it uses less digits than its factorization.

20160634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881 (or 27863 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20160634752 in words is "twenty billion, one hundred sixty million, six hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 211 216 288 384 422 432 576 633 844 864 1152 1266 1688 1728 1899 2532 3376 3456 3798 5064 5697 6752 7596 10128 11394 13504 15192 20256 22788 27008 27647 30384 40512 45576 55294 60768 81024 82941 91152 110588 121536 165882 182304 221176 243072 248823 331764 364608 442352 497646 663528 729216 746469 884704 995292 1327056 1492938 1769408 1990584 2654112 2985876 3538816 3981168 5308224 5833517 5971752 7962336 10616448 11667034 11943504 15924672 17500551 23334068 23887008 31849344 35001102 46668136 47774016 52501653 70002204 93336272 95548032 105003306 140004408 157504959 186672544 210006612 280008816 315009918 373345088 420013224 560017632 630019836 746690176 840026448 1120035264 1260039672 1680052896 2240070528 2520079344 3360105792 5040158688 6720211584 10080317376 20160634752