Search a number
-
+
3380852891520 = 273351358725639
BaseRepresentation
bin110001001100101010100…
…010010001111110000000
3102222012120110011202102000
4301030222202101332000
5420342441320012040
611105050430424000
7466154454264306
oct61145242217600
912865513152360
103380852891520
1110938a2356085
12467294962000
131b6a753a4a50
14b98c418a276
155ce251e5130
hex3132a891f80

3380852891520 has 512 divisors, whose sum is σ = 12917390976000. Its totient is φ = 830759804928.

The previous prime is 3380852891519. The next prime is 3380852891641. The reversal of 3380852891520 is 251982580833.

3380852891520 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 8 + 5 + 28 + 91 + 520 = 666.

It is a super-2 number, since 2×33808528915202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 131850861 + ... + 131876499.

It is an arithmetic number, because the mean of its divisors is an integer number (25229279250).

Almost surely, 23380852891520 is an apocalyptic number.

3380852891520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380852891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458695488000).

3380852891520 is an abundant number, since it is smaller than the sum of its proper divisors (9536538084480).

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

3380852891520 is a wasteful number, since it uses less digits than its factorization.

3380852891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26267 (or 26249 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3380852891520 in words is "three trillion, three hundred eighty billion, eight hundred fifty-two million, eight hundred ninety-one thousand, five hundred twenty".