Search a number
-
+
4969216512 = 2934132709
BaseRepresentation
bin1001010000011000…
…00011101000000000
3110211022110100120000
410220030003220000
540134104412022
62141031320000
7234066433461
oct45014035000
913738410500
104969216512
11211aaa1a07
12b68220000
13612671100
14351d6ad68
151e13c56ac
hex128303a00

4969216512 has 300 divisors, whose sum is σ = 16083125190. Its totient is φ = 1526833152.

The previous prime is 4969216489. The next prime is 4969216573. The reversal of 4969216512 is 2156129694.

4969216512 is a `hidden beast` number, since 49 + 6 + 92 + 1 + 6 + 512 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1500477696 + 3468738816 = 38736^2 + 58896^2 .

It is a super-2 number, since 2×49692165122 = 49386225486266892288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7008414 + ... + 7009122.

Almost surely, 24969216512 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 4969216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041562595).

4969216512 is an abundant number, since it is smaller than the sum of its proper divisors (11113908678).

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

4969216512 is an equidigital number, since it uses as much as digits as its factorization.

4969216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 727 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 4969216512 is about 70492.6699168077. The cubic root of 4969216512 is about 1706.4594518386.

The spelling of 4969216512 in words is "four billion, nine hundred sixty-nine million, two hundred sixteen thousand, five hundred twelve".