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4980418560 = 211325134157
BaseRepresentation
bin1001010001101101…
…10010100000000000
3110212002112110212200
410220312302200000
540144441343220
62142111353200
7234263600505
oct45066624000
913762473780
104980418560
1121263531a7
12b6bb22800
13614a93b40
143536454ac
151e2389890
hex128db2800

4980418560 has 288 divisors, whose sum is σ = 18593494920. Its totient is φ = 1225654272.

The previous prime is 4980418519. The next prime is 4980418561. The reversal of 4980418560 is 658140894.

4980418560 is a `hidden beast` number, since 4 + 9 + 80 + 4 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3004793856 + 1975624704 = 54816^2 + 44448^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980418561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196002 + ... + 1200158.

Almost surely, 24980418560 is an apocalyptic number.

4980418560 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 4980418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296747460).

4980418560 is an abundant number, since it is smaller than the sum of its proper divisors (13613076360).

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

4980418560 is a wasteful number, since it uses less digits than its factorization.

4980418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4980418560 is about 70572.0805984916. The cubic root of 4980418560 is about 1707.7407735116.

The spelling of 4980418560 in words is "four billion, nine hundred eighty million, four hundred eighteen thousand, five hundred sixty".