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4645692480 = 2635111343787
BaseRepresentation
bin1000101001110011…
…11010010001000000
3102222202200122000110
410110321322101000
534003244124410
62044553151320
7223060506642
oct42471722100
912882618013
104645692480
111a74410580
12a979bb540
13590627b80
14320dd2892
151c2cbb720
hex114e7a440

4645692480 has 448 divisors, whose sum is σ = 17754283008. Its totient is φ = 1014128640.

The previous prime is 4645692463. The next prime is 4645692529. The reversal of 4645692480 is 842965464.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 5902647 + ... + 5903433.

It is an arithmetic number, because the mean of its divisors is an integer number (39630096).

Almost surely, 24645692480 is an apocalyptic number.

4645692480 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 4645692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8877141504).

4645692480 is an abundant number, since it is smaller than the sum of its proper divisors (13108590528).

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

4645692480 is a wasteful number, since it uses less digits than its factorization.

4645692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 4645692480 is about 68159.3168979854. The cubic root of 4645692480 is about 1668.5919837472.

The spelling of 4645692480 in words is "four billion, six hundred forty-five million, six hundred ninety-two thousand, four hundred eighty".