Search a number
-
+
3325811381028 = 2232701131788373
BaseRepresentation
bin110000011001011001110…
…011100101001100100100
3102202221111111212022112100
4300121121303211030210
5413442230203143103
611023505012052100
7462165464205243
oct60313163451444
912687444768470
103325811381028
111072517903634
12458693604030
131b1813001226
14b6d8207095a
155b7a2e495a3
hex30659ce5324

3325811381028 has 36 divisors (see below), whose sum is σ = 8418904907868. Its totient is φ = 1107022324800.

The previous prime is 3325811380967. The next prime is 3325811381029. The reversal of 3325811381028 is 8201831185233.

3325811381028 is a `hidden beast` number, since 3 + 3 + 2 + 581 + 1 + 38 + 10 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1053562650624 + 2272248730404 = 1026432^2 + 1507398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33258113810282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3325811381029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65868951 + ... + 65919422.

It is an arithmetic number, because the mean of its divisors is an integer number (233858469663).

Almost surely, 23325811381028 is an apocalyptic number.

It is an amenable number.

3325811381028 is an abundant number, since it is smaller than the sum of its proper divisors (5093093526840).

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

3325811381028 is a wasteful number, since it uses less digits than its factorization.

3325811381028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131789084 (or 131789079 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3325811381028 in words is "three trillion, three hundred twenty-five billion, eight hundred eleven million, three hundred eighty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 2103 2804 4206 6309 8412 12618 25236 131788373 263576746 395365119 527153492 790730238 1186095357 1581460476 2372190714 4744381428 92383649473 184767298946 277150948419 369534597892 554301896838 831452845257 1108603793676 1662905690514 3325811381028