Search a number
-
+
4557120000 = 2935447101
BaseRepresentation
bin1000011111010000…
…00010001000000000
3102202121000200102020
410033220002020000
533313110320000
62032110521440
7220633611066
oct41750021000
912677020366
104557120000
111a29414784
12a72206280
13578185914
14313338036
151ba122ba0
hex10fa02200

4557120000 has 400 divisors, whose sum is σ = 15646891392. Its totient is φ = 1177600000.

The previous prime is 4557119993. The next prime is 4557120017. The reversal of 4557120000 is 217554.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45119950 + ... + 45120050.

Almost surely, 24557120000 is an apocalyptic number.

4557120000 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 4557120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823445696).

4557120000 is an abundant number, since it is smaller than the sum of its proper divisors (11089771392).

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

4557120000 is an equidigital number, since it uses as much as digits as its factorization.

4557120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4557120000 is about 67506.4441368378. Note that the first 3 decimals coincide. The cubic root of 4557120000 is about 1657.9196856120.

Adding to 4557120000 its reverse (217554), we get a palindrome (4557337554).

The spelling of 4557120000 in words is "four billion, five hundred fifty-seven million, one hundred twenty thousand".