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6164220384 = 25327362401
BaseRepresentation
bin1011011110110101…
…01000100111100000
3120220121001211200200
411233122220213200
5100111020023014
62455400345200
7305520003000
oct55732504740
916817054620
106164220384
1126835a6013
121240475200
137731064aa
1442695a000
15261275a09
hex16f6a89e0

6164220384 has 144 divisors (see below), whose sum is σ = 20442895200. Its totient is φ = 1761177600.

The previous prime is 6164220379. The next prime is 6164220401. The reversal of 6164220384 is 4830224616.

6164220384 is a `hidden beast` number, since 6 + 1 + 642 + 2 + 0 + 3 + 8 + 4 = 666.

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

It is a super-2 number, since 2×61642203842 = 75995225885042214912, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 67584 + ... + 129984.

It is an arithmetic number, because the mean of its divisors is an integer number (141964550).

Almost surely, 26164220384 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 6164220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221447600).

6164220384 is an abundant number, since it is smaller than the sum of its proper divisors (14278674816).

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

6164220384 is a wasteful number, since it uses less digits than its factorization.

6164220384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62438 (or 62413 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6164220384 is about 78512.5492134856. The cubic root of 6164220384 is about 1833.5498380419.

The spelling of 6164220384 in words is "six billion, one hundred sixty-four million, two hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 62401 98784 124802 187203 249604 374406 436807 499208 561609 748812 873614 998416 1123218 1310421 1497624 1747228 1996832 2246436 2620842 2995248 3057649 3494456 3931263 4492872 5241684 5990496 6115298 6988912 7862526 8985744 9172947 10483368 12230596 13977824 15725052 17971488 18345894 20966736 21403543 24461192 27518841 31450104 36691788 41933472 42807086 48922384 55037682 62900208 64210629 73383576 85614172 97844768 110075364 125800416 128421258 146767152 171228344 192631887 220150728 256842516 293534304 342456688 385263774 440301456 513685032 684913376 770527548 880602912 1027370064 1541055096 2054740128 3082110192 6164220384