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4945295376 = 2433717196183
BaseRepresentation
bin1001001101100001…
…10011100000010000
3110202122110000221000
410212300303200100
540111443423001
62134414502000
7233356213530
oct44660634020
913678400830
104945295376
11210854367a
12b60204900
1360a716ca8
1434cb014c0
151de24ca86
hex126c33810

4945295376 has 640 divisors, whose sum is σ = 18598809600. Its totient is φ = 1224253440.

The previous prime is 4945295353. The next prime is 4945295423. The reversal of 4945295376 is 6735925494.

4945295376 is a `hidden beast` number, since 49 + 4 + 529 + 5 + 3 + 76 = 666.

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

Its product of digits (8164800) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59581831 + ... + 59581913.

It is an arithmetic number, because the mean of its divisors is an integer number (29060640).

Almost surely, 24945295376 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 4945295376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299404800).

4945295376 is an abundant number, since it is smaller than the sum of its proper divisors (13653514224).

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

4945295376 is a wasteful number, since it uses less digits than its factorization.

4945295376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 4945295376 is about 70322.7941424400. The cubic root of 4945295376 is about 1703.7168245962.

The spelling of 4945295376 in words is "four billion, nine hundred forty-five million, two hundred ninety-five thousand, three hundred seventy-six".