Search a number
-
+
33130160280 = 23325722964763
BaseRepresentation
bin11110110110101101…
…100010000010011000
310011111220020112001100
4132312231202002120
51020322310112110
623115250151400
72251665500400
oct366655420230
9104456215040
1033130160280
1113061125858
126507282560
13317ca20049
141864053800
15cdd82dbc0
hex7b6b62098

33130160280 has 288 divisors, whose sum is σ = 129573334800. Its totient is φ = 7311370752.

The previous prime is 33130160213. The next prime is 33130160299. The reversal of 33130160280 is 8206103133.

It is a happy number.

33130160280 is a `hidden beast` number, since 331 + 301 + 6 + 0 + 28 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 479179 + ... + 543941.

Almost surely, 233130160280 is an apocalyptic number.

33130160280 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 33130160280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64786667400).

33130160280 is an abundant number, since it is smaller than the sum of its proper divisors (96443174520).

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

33130160280 is a wasteful number, since it uses less digits than its factorization.

33130160280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64823 (or 64809 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 33130160280 in words is "thirty-three billion, one hundred thirty million, one hundred sixty thousand, two hundred eighty".