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4996001010 = 23571113435373
BaseRepresentation
bin1001010011100100…
…01110110011110010
3110220011212010222110
410221302032303302
540212434013020
62143425350150
7234543210420
oct45162166362
913804763873
104996001010
112134126560
12b75198356
1361808b620
14355740110
151e39168e0
hex129c8ecf2

4996001010 has 512 divisors, whose sum is σ = 17014136832. Its totient is φ = 905748480.

The previous prime is 4996000963. The next prime is 4996001011. The reversal of 4996001010 is 101006994.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4996001011) 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 255 ways as a sum of consecutive naturals, for example, 68438334 + ... + 68438406.

It is an arithmetic number, because the mean of its divisors is an integer number (33230736).

Almost surely, 24996001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4996001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507068416).

4996001010 is an abundant number, since it is smaller than the sum of its proper divisors (12018135822).

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

4996001010 is a wasteful number, since it uses less digits than its factorization.

4996001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 4996001010 is about 70682.3953329257. The cubic root of 4996001010 is about 1709.5199466384.

The spelling of 4996001010 in words is "four billion, nine hundred ninety-six million, one thousand, ten".