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4834186368 = 2731117232927
BaseRepresentation
bin1001000000010001…
…11101010010000000
3110110220101010000120
410200020331102000
534400022430433
62115405220240
7230536622544
oct44010752200
913426333016
104834186368
112060854850
12b2ab61680
135c06b3c0b
1433c05ba24
151d46017b3
hex12023d480

4834186368 has 256 divisors, whose sum is σ = 15482327040. Its totient is φ = 1318338560.

The previous prime is 4834186361. The next prime is 4834186369. The reversal of 4834186368 is 8636814384.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4834186368.

It is not an unprimeable number, because it can be changed into a prime (4834186361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650121 + ... + 1653047.

It is an arithmetic number, because the mean of its divisors is an integer number (60477840).

Almost surely, 24834186368 is an apocalyptic number.

4834186368 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 4834186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741163520).

4834186368 is an abundant number, since it is smaller than the sum of its proper divisors (10648140672).

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

4834186368 is a wasteful number, since it uses less digits than its factorization.

4834186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2983 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 4834186368 is about 69528.3134269774. The cubic root of 4834186368 is about 1690.8605689142.

The spelling of 4834186368 in words is "four billion, eight hundred thirty-four million, one hundred eighty-six thousand, three hundred sixty-eight".