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4855144320 = 273351321613
BaseRepresentation
bin1001000010110001…
…11001111110000000
3110112100210212221000
410201120321332000
534420404104240
62121434332000
7231213021465
oct44130717600
913470725830
104855144320
112071669874
12b35b8a000
135c4b41380
14340b5566c
151d6391430
hex121639f80

4855144320 has 256 divisors, whose sum is σ = 18518875200. Its totient is φ = 1195057152.

The previous prime is 4855144303. The next prime is 4855144337. The reversal of 4855144320 is 234415584.

It is a happy number.

4855144320 is a `hidden beast` number, since 4 + 85 + 514 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4855144303) and next prime (4855144337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213834 + ... + 235446.

Almost surely, 24855144320 is an apocalyptic number.

4855144320 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 4855144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259437600).

4855144320 is an abundant number, since it is smaller than the sum of its proper divisors (13663730880).

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

4855144320 is a wasteful number, since it uses less digits than its factorization.

4855144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4855144320 is about 69678.8656624087. The cubic root of 4855144320 is about 1693.3005442773.

The spelling of 4855144320 in words is "four billion, eight hundred fifty-five million, one hundred forty-four thousand, three hundred twenty".