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4961323008 = 21133234783
BaseRepresentation
bin1001001111011011…
…11100100000000000
3110210202121022201000
410213231330200000
540130044314013
62140150212000
7233642356365
oct44755744000
913722538630
104961323008
1121165a0454
12b65654000
13610b392b5
14350cb446c
151e0866973
hex127b7c800

4961323008 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 1529561088.

The previous prime is 4961323001. The next prime is 4961323009. The reversal of 4961323008 is 8003231694.

4961323008 is a `hidden beast` number, since 4 + 9 + 613 + 2 + 30 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49613230082 = 49229451979420336128, which contains 22 as substring.

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 (4961323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59774935 + ... + 59775017.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 24961323008 is an apocalyptic number.

4961323008 is a gapful number since it is divisible by the number (48) 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 4961323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4961323008 is an abundant number, since it is smaller than the sum of its proper divisors (10889275392).

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

4961323008 is a wasteful number, since it uses less digits than its factorization.

4961323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4961323008 is about 70436.6595460063. The cubic root of 4961323008 is about 1705.5554137455. Note that the first 3 decimals are identical.

The spelling of 4961323008 in words is "four billion, nine hundred sixty-one million, three hundred twenty-three thousand, eight".