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4857390144 = 2632172332129
BaseRepresentation
bin1001000011000010…
…11110010001000000
3110112112000222121200
410201201132101000
534421442441034
62121554421200
7231241064205
oct44141362100
913475028550
104857390144
112072963122
12b36891800
135c5449669
1434117bcac
151d6686a99
hex12185e440

4857390144 has 168 divisors, whose sum is σ = 14812045560. Its totient is φ = 1516634112.

The previous prime is 4857390137. The next prime is 4857390149. The reversal of 4857390144 is 4410937584.

4857390144 is a `hidden beast` number, since 485 + 73 + 90 + 14 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302760000 + 4554630144 = 17400^2 + 67488^2 .

It is a super-2 number, since 2×48573901442 = 47188478022056681472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4857390144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4857390149) 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, 2280472 + ... + 2282600.

Almost surely, 24857390144 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 4857390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406022780).

4857390144 is an abundant number, since it is smaller than the sum of its proper divisors (9954655416).

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

4857390144 is a wasteful number, since it uses less digits than its factorization.

4857390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4857390144 is about 69694.9793313693. The cubic root of 4857390144 is about 1693.5615917041.

The spelling of 4857390144 in words is "four billion, eight hundred fifty-seven million, three hundred ninety thousand, one hundred forty-four".