Search a number
-
+
3255020164224 = 273237186740903
BaseRepresentation
bin101111010111011110010…
…100100001010010000000
3102112011202221200220020200
4233113132110201102000
5411312240130223344
610531200254405200
7454111301613123
oct57273624412200
912464687626220
103255020164224
1110454a002a684
12446a17800800
131a7c4098a76a
14b37883383ba
1559a0d149069
hex2f5de521480

3255020164224 has 192 divisors, whose sum is σ = 9625200411840. Its totient is φ = 1055090976768.

The previous prime is 3255020164223. The next prime is 3255020164247. The reversal of 3255020164224 is 4224610205523.

3255020164224 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 0 + 2 + 0 + 1 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3255020164223) 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 23 ways as a sum of consecutive naturals, for example, 79558557 + ... + 79599459.

It is an arithmetic number, because the mean of its divisors is an integer number (50131252145).

Almost surely, 23255020164224 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 3255020164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812600205920).

3255020164224 is an abundant number, since it is smaller than the sum of its proper divisors (6370180247616).

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

3255020164224 is a wasteful number, since it uses less digits than its factorization.

3255020164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42827 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 3255020164224 its reverse (4224610205523), we get a palindrome (7479630369747).

The spelling of 3255020164224 in words is "three trillion, two hundred fifty-five billion, twenty million, one hundred sixty-four thousand, two hundred twenty-four".