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4645921280 = 29573111337
BaseRepresentation
bin1000101001110101…
…10010001000000000
3102222210010020212112
410110322302020000
534003323440110
62045002114452
7223062452000
oct42472621000
912883106775
104645921280
111a74557470
12a97aaba28
135906a8060
14321052000
151c2d14405
hex114eb2200

4645921280 has 640 divisors, whose sum is σ = 15673996800. Its totient is φ = 1300561920.

The previous prime is 4645921253. The next prime is 4645921331. The reversal of 4645921280 is 821295464.

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

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 63 ways as a sum of consecutive naturals, for example, 125565422 + ... + 125565458.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 24645921280 is an apocalyptic number.

4645921280 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 4645921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836998400).

4645921280 is an abundant number, since it is smaller than the sum of its proper divisors (11028075520).

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

4645921280 is a wasteful number, since it uses less digits than its factorization.

4645921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 4645921280 is about 68160.9952978975. The cubic root of 4645921280 is about 1668.6193759734.

The spelling of 4645921280 in words is "four billion, six hundred forty-five million, nine hundred twenty-one thousand, two hundred eighty".