Search a number
-
+
2968888692 = 2237113213083
BaseRepresentation
bin1011000011110101…
…1010010101110100
321122220111011122110
42300331122111310
522040013414232
61210333331020
7133400065110
oct26075322564
97586434573
102968888692
111293951020
126aa336a70
13384110793
14202428740
1512599aacc
hexb0f5a574

2968888692 has 48 divisors (see below), whose sum is σ = 8636769792. Its totient is φ = 771139680.

The previous prime is 2968888649. The next prime is 2968888711.

2968888692 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a plaindrome in base 15.

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, 1605618 + ... + 1607465.

It is an arithmetic number, because the mean of its divisors is an integer number (179932704).

Almost surely, 22968888692 is an apocalyptic number.

2968888692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2968888692 is an abundant number, since it is smaller than the sum of its proper divisors (5667881100).

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

2968888692 is a wasteful number, since it uses less digits than its factorization.

2968888692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213108 (or 3213106 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 66.

The square root of 2968888692 is about 54487.5095044727. The cubic root of 2968888692 is about 1437.2466504693.

The spelling of 2968888692 in words is "two billion, nine hundred sixty-eight million, eight hundred eighty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 3213083 6426166 9639249 12852332 19278498 22491581 35343913 38556996 44983162 67474743 70687826 89966324 106031739 134949486 141375652 212063478 247407391 269898972 424126956 494814782 742222173 989629564 1484444346 2968888692