Search a number
-
+
6193410048 = 21232724001
BaseRepresentation
bin1011100010010011…
…11111000000000000
3120222121222211101100
411301021333000000
5100141003110143
62502322134400
7306323055030
oct56111770000
916877884340
106193410048
112699022701
12124a1b1400
13779186697
1442a7978c0
15263ade6d3
hex17127f000

6193410048 has 156 divisors (see below), whose sum is σ = 20446439728. Its totient is φ = 1769472000.

The previous prime is 6193410043. The next prime is 6193410049. The reversal of 6193410048 is 8400143916.

6193410048 is a `hidden beast` number, since 619 + 34 + 1 + 0 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6193409994 and 6193410021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6193410043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246048 + ... + 270048.

Almost surely, 26193410048 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 6193410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223219864).

6193410048 is an abundant number, since it is smaller than the sum of its proper divisors (14253029680).

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

6193410048 is a wasteful number, since it uses less digits than its factorization.

6193410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24038 (or 24013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6193410048 is about 78698.2213776144. The cubic root of 6193410048 is about 1836.4394408564.

The spelling of 6193410048 in words is "six billion, one hundred ninety-three million, four hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 24001 28672 32256 36864 43008 48002 64512 72003 86016 96004 129024 144006 168007 192008 216009 258048 288012 336014 384016 432018 504021 576024 672028 768032 864036 1008042 1152048 1344056 1512063 1536064 1728072 2016084 2304096 2688112 3024126 3072128 3456144 4032168 4608192 5376224 6048252 6144256 6912288 8064336 9216384 10752448 12096504 12288512 13824576 16128672 18432768 21504896 24193008 24577024 27649152 32257344 36865536 43009792 48386016 49154048 55298304 64514688 73731072 86019584 96772032 98308096 110596608 129029376 147462144 172039168 193544064 221193216 258058752 294924288 344078336 387088128 442386432 516117504 688156672 774176256 884772864 1032235008 1548352512 2064470016 3096705024 6193410048