Search a number
-
+
5955035328 = 2633112191499
BaseRepresentation
bin1011000101111001…
…01010000011000000
3120101000110010202000
411202330222003000
544143442112303
62422525024000
7300366652014
oct54274520300
916330403660
105955035328
11258650a200
1211a23b5000
1373b984558
14406c66544
1524cc04da3
hex162f2a0c0

5955035328 has 336 divisors, whose sum is σ = 20269200000. Its totient is φ = 1708439040.

The previous prime is 5955035323. The next prime is 5955035329. The reversal of 5955035328 is 8235305595.

5955035328 is a `hidden beast` number, since 5 + 95 + 503 + 53 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5955035323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971923 + ... + 3973421.

It is an arithmetic number, because the mean of its divisors is an integer number (60325000).

Almost surely, 25955035328 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 5955035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134600000).

5955035328 is an abundant number, since it is smaller than the sum of its proper divisors (14314164672).

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

5955035328 is a wasteful number, since it uses less digits than its factorization.

5955035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 5955035328 is about 77168.8753837971. The cubic root of 5955035328 is about 1812.5699711267.

The spelling of 5955035328 in words is "five billion, nine hundred fifty-five million, thirty-five thousand, three hundred twenty-eight".