Search a number
-
+
4956877632 = 263724312253
BaseRepresentation
bin1001001110111001…
…11111001101000000
3110210110020110210110
410213130333031000
540122430041012
62135511031320
7233556523200
oct44734771500
913713213713
104956877632
112114034593
12b6406b540
1360cc40ab5
14350478400
151e028973c
hex12773f340

4956877632 has 168 divisors, whose sum is σ = 15612380256. Its totient is φ = 1383201792.

The previous prime is 4956877631. The next prime is 4956877687. The reversal of 4956877632 is 2367786594.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956877631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 398418 + ... + 410670.

Almost surely, 24956877632 is an apocalyptic number.

4956877632 is a gapful number since it is divisible by the number (42) 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 4956877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806190128).

4956877632 is an abundant number, since it is smaller than the sum of its proper divisors (10655502624).

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

4956877632 is a wasteful number, since it uses less digits than its factorization.

4956877632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12308 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 4956877632 is about 70405.0966336955. The cubic root of 4956877632 is about 1705.0458654741.

The spelling of 4956877632 in words is "four billion, nine hundred fifty-six million, eight hundred seventy-seven thousand, six hundred thirty-two".