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4699984968 = 23327174312757
BaseRepresentation
bin1000110000010010…
…00001010001001000
3110010112211222022100
410120021001101020
534111144004333
62054212553400
7224320133040
oct43011012110
913115758270
104699984968
111aa20232a8
12ab2022860
1359b956cc3
143282c6720
151c7943213
hex118241448

4699984968 has 192 divisors, whose sum is σ = 15762764160. Its totient is φ = 1234372608.

The previous prime is 4699984957. The next prime is 4699984969. The reversal of 4699984968 is 8694899964.

It is a happy number.

4699984968 is a `hidden beast` number, since 46 + 9 + 9 + 98 + 496 + 8 = 666.

It is a super-2 number, since 2×46999849682 = 44179717398851922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4699984896 and 4699984905.

It is not an unprimeable number, because it can be changed into a prime (4699984969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362046 + ... + 374802.

It is an arithmetic number, because the mean of its divisors is an integer number (82097730).

Almost surely, 24699984968 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 4699984968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881382080).

4699984968 is an abundant number, since it is smaller than the sum of its proper divisors (11062779192).

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

4699984968 is a wasteful number, since it uses less digits than its factorization.

4699984968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12829 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 4699984968 is about 68556.4363717952. The cubic root of 4699984968 is about 1675.0668978108.

The spelling of 4699984968 in words is "four billion, six hundred ninety-nine million, nine hundred eighty-four thousand, nine hundred sixty-eight".