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4855163040 = 2532572136779
BaseRepresentation
bin1001000010110001…
…11110100010100000
3110112100211211121100
410201120332202200
534420410204130
62121434554400
7231213130200
oct44130764240
913470754540
104855163040
112071681942
12b35b98a00
135c4b49a50
14340b5c400
151d6396c60
hex12163e8a0

4855163040 has 864 divisors, whose sum is σ = 21332263680. Its totient is φ = 996323328.

The previous prime is 4855163023. The next prime is 4855163069. The reversal of 4855163040 is 403615584.

It is a happy number.

4855163040 is a `hidden beast` number, since 4 + 8 + 551 + 63 + 0 + 40 = 666.

It is a Cunningham number, because it is equal to 696792-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 4855162986 and 4855163004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61457721 + ... + 61457799.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 24855163040 is an apocalyptic number.

4855163040 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 4855163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

4855163040 is an abundant number, since it is smaller than the sum of its proper divisors (16477100640).

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

4855163040 is a wasteful number, since it uses less digits than its factorization.

4855163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4855163040 is about 69678.9999928242. Note that the first 5 decimals coincide. The cubic root of 4855163040 is about 1693.3027205631.

The spelling of 4855163040 in words is "four billion, eight hundred fifty-five million, one hundred sixty-three thousand, forty".