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4748675760 = 243352941432
BaseRepresentation
bin1000110110000101…
…10000101010110000
3110020221110201112000
410123002300222300
534211130111020
62103112334000
7225451035513
oct43302605260
913227421460
104748675760
11201755a424
12b063a4300
135a8a7451a
1433095cd7a
151cbd60090
hex11b0b0ab0

4748675760 has 480 divisors, whose sum is σ = 17745739200. Its totient is φ = 1165086720.

The previous prime is 4748675753. The next prime is 4748675783. The reversal of 4748675760 is 675768474.

4748675760 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 67 + 576 + 0 = 666.

It is a super-2 number, since 2×47486757602 = 45099842947223155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4748675697 and 4748675706.

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 95 ways as a sum of consecutive naturals, for example, 110434299 + ... + 110434341.

It is an arithmetic number, because the mean of its divisors is an integer number (36970290).

Almost surely, 24748675760 is an apocalyptic number.

4748675760 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 4748675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872869600).

4748675760 is an abundant number, since it is smaller than the sum of its proper divisors (12997063440).

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

4748675760 is a wasteful number, since it uses less digits than its factorization.

4748675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 4748675760 is about 68910.6360440825. The cubic root of 4748675760 is about 1680.8314761678.

The spelling of 4748675760 in words is "four billion, seven hundred forty-eight million, six hundred seventy-five thousand, seven hundred sixty".