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4975379640 = 233457311237
BaseRepresentation
bin1001010001000111…
…00100010010111000
3110211202001110210000
410220203210102320
540142144122030
62141411353000
7234203013000
oct45043442270
913752043700
104975379640
112123521400
12b6a2b2760
13613a1b42a
14352ad3000
151e1be1860
hex1288e44b8

4975379640 has 960 divisors, whose sum is σ = 22015224000. Its totient is φ = 1005903360.

The previous prime is 4975379623. The next prime is 4975379641. The reversal of 4975379640 is 469735794.

It is a happy number.

4975379640 is a `hidden beast` number, since 49 + 7 + 537 + 9 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4975379641) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 134469702 + ... + 134469738.

It is an arithmetic number, because the mean of its divisors is an integer number (22932525).

Almost surely, 24975379640 is an apocalyptic number.

4975379640 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 4975379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007612000).

4975379640 is an abundant number, since it is smaller than the sum of its proper divisors (17039844360).

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

4975379640 is a wasteful number, since it uses less digits than its factorization.

4975379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 4975379640 is about 70536.3710435971. The cubic root of 4975379640 is about 1707.1646457057.

The spelling of 4975379640 in words is "four billion, nine hundred seventy-five million, three hundred seventy-nine thousand, six hundred forty".