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4855092480 = 28335724761
BaseRepresentation
bin1001000010110001…
…01101010100000000
3110112100201020211000
410201120231110000
534420400424410
62121433252000
7231212414400
oct44130552400
913470636730
104855092480
112071633927
12b35b64000
135c4b238b4
14340b40800
151d6380dc0
hex12162d500

4855092480 has 864 divisors, whose sum is σ = 20803668480. Its totient is φ = 1068318720.

The previous prime is 4855092469. The next prime is 4855092503. The reversal of 4855092480 is 842905584.

4855092480 is a `hidden beast` number, since 4 + 8 + 550 + 92 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×48550924803 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 79591650 + ... + 79591710.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 24855092480 is an apocalyptic number.

4855092480 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 4855092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401834240).

4855092480 is an abundant number, since it is smaller than the sum of its proper divisors (15948576000).

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

4855092480 is a wasteful number, since it uses less digits than its factorization.

4855092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 4855092480 is about 69678.4936691373. The cubic root of 4855092480 is about 1693.2945176104.

The spelling of 4855092480 in words is "four billion, eight hundred fifty-five million, ninety-two thousand, four hundred eighty".