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4854274128 = 2432113193143
BaseRepresentation
bin1001000010101011…
…00101100001010000
3110112022011200020200
410201111211201100
534420143233003
62121403535200
7231202435464
oct44125454120
913468150220
104854274128
112071125000
12b3582a500
135c48c8272
143409aa4a4
151d626d6a3
hex121565850

4854274128 has 480 divisors, whose sum is σ = 16614174720. Its totient is φ = 1317254400.

The previous prime is 4854274123. The next prime is 4854274133. The reversal of 4854274128 is 8214724584.

4854274128 is a `hidden beast` number, since 48 + 542 + 7 + 41 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (4854274123) and next prime (4854274133).

Its product of digits (573440) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4854274123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112890075 + ... + 112890117.

It is an arithmetic number, because the mean of its divisors is an integer number (34612864).

Almost surely, 24854274128 is an apocalyptic number.

4854274128 is a gapful number since it is divisible by the number (48) 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 4854274128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307087360).

4854274128 is an abundant number, since it is smaller than the sum of its proper divisors (11759900592).

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

4854274128 is a wasteful number, since it uses less digits than its factorization.

4854274128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 4854274128 is about 69672.6210788714. The cubic root of 4854274128 is about 1693.1993742927.

It can be divided in two parts, 485427 and 4128, that added together give a triangular number (489555 = T989).

The spelling of 4854274128 in words is "four billion, eight hundred fifty-four million, two hundred seventy-four thousand, one hundred twenty-eight".