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4739696640 = 21133573179
BaseRepresentation
bin1000110101000001…
…00000100000000000
3110020022120112111000
410122200200200000
534201330243030
62102152052000
7225311520360
oct43240404000
913208515430
104739696640
112012487268
12b03394000
135a6c4c533
1432d6a29a0
151cb189860
hex11a820800

4739696640 has 768 divisors, whose sum is σ = 20127744000. Its totient is φ = 1035141120.

The previous prime is 4739696617. The next prime is 4739696669. The reversal of 4739696640 is 466969374.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59996121 + ... + 59996199.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 24739696640 is an apocalyptic number.

4739696640 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 4739696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

4739696640 is an abundant number, since it is smaller than the sum of its proper divisors (15388047360).

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

4739696640 is a wasteful number, since it uses less digits than its factorization.

4739696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 4739696640 is about 68845.4547519297. The cubic root of 4739696640 is about 1679.7713974662.

The spelling of 4739696640 in words is "four billion, seven hundred thirty-nine million, six hundred ninety-six thousand, six hundred forty".