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4675719168 = 2123417829
BaseRepresentation
bin1000101101011000…
…11101000000000000
3110001212012010220000
410112230131000000
534033441003133
62051544520000
7223603646211
oct42654350000
913055163800
104675719168
111a8a35a01a
12aa5a80000
1359690c043
14324dab408
151c574d413
hex116b1d000

4675719168 has 260 divisors, whose sum is σ = 14807198340. Its totient is φ = 1465122816.

The previous prime is 4675719163. The next prime is 4675719187. The reversal of 4675719168 is 8619175764.

4675719168 is a `hidden beast` number, since 4 + 6 + 7 + 571 + 9 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3186376704 + 1489342464 = 56448^2 + 38592^2 .

It is a super-2 number, since 2×46757191682 = 43724699476005224448, which contains 22 as substring.

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

Its product of digits (2540160) is a multiple of the sum of its prime factors (882).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675719163) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5639778 + ... + 5640606.

Almost surely, 24675719168 is an apocalyptic number.

4675719168 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 4675719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403599170).

4675719168 is an abundant number, since it is smaller than the sum of its proper divisors (10131479172).

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

4675719168 is an equidigital number, since it uses as much as digits as its factorization.

4675719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 851 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4675719168 is about 68379.2305309149. The cubic root of 4675719168 is about 1672.1791586292.

The spelling of 4675719168 in words is "four billion, six hundred seventy-five million, seven hundred nineteen thousand, one hundred sixty-eight".