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5700056832 = 283710181
BaseRepresentation
bin1010100111011111…
…11111011100000000
3112201020122220000000
411103233333130000
543133203304312
62341340000000
7261152453331
oct52357773400
915636586000
105700056832
112465596078
121130b30000
136cabbaac2
143c1052288
1523563aadc
hex153bff700

5700056832 has 144 divisors (see below), whose sum is σ = 17065846560. Its totient is φ = 1899832320.

The previous prime is 5700056821. The next prime is 5700056833. The reversal of 5700056832 is 2386500075.

5700056832 is a `hidden beast` number, since 570 + 0 + 0 + 5 + 6 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700056833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 554782 + ... + 564962.

Almost surely, 25700056832 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 5700056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532923280).

5700056832 is an abundant number, since it is smaller than the sum of its proper divisors (11365789728).

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

5700056832 is an frugal number, since it uses more digits than its factorization.

5700056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10218 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5700056832 is about 75498.7207308839. The cubic root of 5700056832 is about 1786.3219245252.

The spelling of 5700056832 in words is "five billion, seven hundred million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8748 10181 10368 11664 15552 17496 20362 20736 23328 30543 31104 34992 40724 46656 61086 62208 69984 81448 91629 93312 122172 139968 162896 183258 186624 244344 274887 279936 325792 366516 488688 549774 559872 651584 733032 824661 977376 1099548 1303168 1466064 1649322 1954752 2199096 2473983 2606336 2932128 3298644 3909504 4398192 4947966 5864256 6597288 7421949 7819008 8796384 9895932 11728512 13194576 14843898 17592768 19791864 22265847 23457024 26389152 29687796 35185536 39583728 44531694 52778304 59375592 70371072 79167456 89063388 105556608 118751184 158334912 178126776 211113216 237502368 316669824 356253552 475004736 633339648 712507104 950009472 1425014208 1900018944 2850028416 5700056832