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4962720000 = 2835472211
BaseRepresentation
bin1001001111100110…
…10001100100000000
3110210212020022000110
410213303101210000
540130424020000
62140240151320
7233660265300
oct44763214400
913725208013
104962720000
112117364a97
12b66008540
13611208114
14351159600
151e0a40850
hex127cd1900

4962720000 has 540 divisors, whose sum is σ = 19290462576. Its totient is φ = 1128960000.

The previous prime is 4962719963. The next prime is 4962720001. The reversal of 4962720000 is 272694.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4962720000.

It is not an unprimeable number, because it can be changed into a prime (4962720001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 23519895 + ... + 23520105.

Almost surely, 24962720000 is an apocalyptic number.

4962720000 is a gapful number since it is divisible by the number (40) 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 4962720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645231288).

4962720000 is an abundant number, since it is smaller than the sum of its proper divisors (14327742576).

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

4962720000 is an equidigital number, since it uses as much as digits as its factorization.

4962720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4962720000 is about 70446.5755022911. The cubic root of 4962720000 is about 1705.7154801678.

Adding to 4962720000 its reverse (272694), we get a palindrome (4962992694).

The spelling of 4962720000 in words is "four billion, nine hundred sixty-two million, seven hundred twenty thousand".