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4976119008 = 2536731983
BaseRepresentation
bin1001010001001100…
…11000110011100000
3110211210110001000000
410220212120303200
540142341302013
62141435300000
7234212212410
oct45046306340
913753401000
104976119008
112123986953
12b6a5aa600
13613c19b23
14352c46640
151e1cda973
hex128998ce0

4976119008 has 336 divisors, whose sum is σ = 17345857536. Its totient is φ = 1374485760.

The previous prime is 4976118923. The next prime is 4976119013. The reversal of 4976119008 is 8009116794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5061685 + ... + 5062667.

It is an arithmetic number, because the mean of its divisors is an integer number (51624576).

Almost surely, 24976119008 is an apocalyptic number.

4976119008 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 4976119008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672928768).

4976119008 is an abundant number, since it is smaller than the sum of its proper divisors (12369738528).

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

4976119008 is an equidigital number, since it uses as much as digits as its factorization.

4976119008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4976119008 is about 70541.6118897208. The cubic root of 4976119008 is about 1707.2492061132.

The spelling of 4976119008 in words is "four billion, nine hundred seventy-six million, one hundred nineteen thousand, eight".