Search a number
-
+
2669821644 = 2237217893001
BaseRepresentation
bin1001111100100010…
…0011111011001100
320220001201222210010
42133020203323030
520431433243034
61120531313220
7123106052400
oct23710437314
96801658703
102669821644
111150054576
1262614b810
1333717b529
141b4819100
151095c33e9
hex9f223ecc

2669821644 has 144 divisors (see below), whose sum is σ = 7761731040. Its totient is φ = 709632000.

The previous prime is 2669821639. The next prime is 2669821657. The reversal of 2669821644 is 4461289662.

It is a super-2 number, since 2×26698216442 = 14255895221541725472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2669821593 and 2669821602.

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 47 ways as a sum of consecutive naturals, for example, 888144 + ... + 891144.

It is an arithmetic number, because the mean of its divisors is an integer number (53900910).

Almost surely, 22669821644 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 2669821644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880865520).

2669821644 is an abundant number, since it is smaller than the sum of its proper divisors (5091909396).

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

2669821644 is a wasteful number, since it uses less digits than its factorization.

2669821644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3119 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2669821644 is about 51670.3168560054. The cubic root of 2669821644 is about 1387.2692179429.

The spelling of 2669821644 in words is "two billion, six hundred sixty-nine million, eight hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 89 98 102 119 147 178 196 204 238 267 294 356 357 476 534 588 623 714 833 1068 1246 1428 1513 1666 1869 2492 2499 3001 3026 3332 3738 4361 4539 4998 6002 6052 7476 8722 9003 9078 9996 10591 12004 13083 17444 18006 18156 21007 21182 26166 31773 36012 42014 42364 51017 52332 63021 63546 74137 84028 102034 126042 127092 147049 148274 153051 204068 222411 252084 267089 294098 296548 306102 357119 441147 444822 534178 588196 612204 714238 801267 882294 889644 1068356 1071357 1428476 1602534 1764588 1869623 2142714 2499833 3205068 3739246 4285428 4540513 4999666 5608869 7478492 7499499 9081026 9999332 11217738 13087361 13621539 14998998 18162052 22435476 26174722 27243078 29997996 31783591 39262083 52349444 54486156 63567182 78524166 95350773 127134364 157048332 190701546 222485137 381403092 444970274 667455411 889940548 1334910822 2669821644