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4669591680 = 2734513341
BaseRepresentation
bin1000101100101010…
…00101000010000000
3110001102122211120000
410112111011002000
534030403413210
62051205320000
7223500605625
oct42625050200
913042584500
104669591680
111a86954386
12aa3a06000
13595575000
1432425434c
151c4e3cac0
hex116545080

4669591680 has 640 divisors, whose sum is σ = 18505594800. Its totient is φ = 1121402880.

The previous prime is 4669591673. The next prime is 4669591691. The reversal of 4669591680 is 861959664.

It is a happy number.

4669591680 is a `hidden beast` number, since 46 + 6 + 9 + 591 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1259966016 + 3409625664 = 35496^2 + 58392^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113892460 + ... + 113892500.

Almost surely, 24669591680 is an apocalyptic number.

4669591680 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 4669591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252797400).

4669591680 is an abundant number, since it is smaller than the sum of its proper divisors (13836003120).

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

4669591680 is an equidigital number, since it uses as much as digits as its factorization.

4669591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4669591680 is about 68334.4106581743. The cubic root of 4669591680 is about 1671.4483807176.

The spelling of 4669591680 in words is "four billion, six hundred sixty-nine million, five hundred ninety-one thousand, six hundred eighty".