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4745882016 = 253419293323
BaseRepresentation
bin1000110101110000…
…00110100110100000
3110020202012210020000
410122320012212200
534204421211031
62102532420000
7225415221501
oct43270064640
913222183200
104745882016
112015a21447
12b05477600
135a8306a15
14330432ba8
151cb9ac3e6
hex11ae069a0

4745882016 has 240 divisors, whose sum is σ = 15203311200. Its totient is φ = 1446584832.

The previous prime is 4745882003. The next prime is 4745882023. The reversal of 4745882016 is 6102885474.

4745882016 is a `hidden beast` number, since 47 + 4 + 588 + 20 + 1 + 6 = 666.

It is a super-2 number, since 2×47458820162 = 45046792219584448512, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1426531 + ... + 1429853.

It is an arithmetic number, because the mean of its divisors is an integer number (63347130).

Almost surely, 24745882016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601655600).

4745882016 is an abundant number, since it is smaller than the sum of its proper divisors (10457429184).

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

4745882016 is a wasteful number, since it uses less digits than its factorization.

4745882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4745882016 is about 68890.3622867524. The cubic root of 4745882016 is about 1680.5017888843.

The spelling of 4745882016 in words is "four billion, seven hundred forty-five million, eight hundred eighty-two thousand, sixteen".