Search a number
-
+
3283879733925 = 35276479667711
BaseRepresentation
bin101111110010010110011…
…111000010101010100101
3102121221021020001221100120
4233302112133002222211
5412300341202441200
610552332111232153
7456152413116240
oct57622637025245
912557236057316
103283879733925
11105675a55452a
12450530818659
131aa88c9b751b
14b4d2511c257
155a64baa29a0
hex2fc967c2aa5

3283879733925 has 48 divisors (see below), whose sum is σ = 6214559956992. Its totient is φ = 1498881758400.

The previous prime is 3283879733881. The next prime is 3283879733929. The reversal of 3283879733925 is 5293379783823.

3283879733925 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3283879733925 - 26 = 3283879733861 is a prime.

It is a super-2 number, since 2×32838797339252 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3283879733925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283879733929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4494181 + ... + 5173530.

It is an arithmetic number, because the mean of its divisors is an integer number (129469999104).

Almost surely, 23283879733925 is an apocalyptic number.

3283879733925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3283879733925 is a deficient number, since it is larger than the sum of its proper divisors (2930680223067).

3283879733925 is a wasteful number, since it uses less digits than its factorization.

3283879733925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668378 (or 9668373 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 69.

The spelling of 3283879733925 in words is "three trillion, two hundred eighty-three billion, eight hundred seventy-nine million, seven hundred thirty-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 647 1941 3235 4529 9705 13587 16175 22645 48525 67935 113225 339675 9667711 29003133 48338555 67673977 145015665 203021931 241692775 338369885 725078325 1015109655 1691849425 5075548275 6255009017 18765027051 31275045085 43785063119 93825135255 131355189357 156375225425 218925315595 469125676275 656775946785 1094626577975 3283879733925