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5921016816 = 24311131983547
BaseRepresentation
bin1011000001110101…
…11000101111110000
3120021122102211010010
411200322320233300
544111240014231
62415311534520
7266504545461
oct54072705760
916248384103
105921016816
112569294630
121192b2a440
13734903460
1440252cd68
15249c35546
hex160eb8bf0

5921016816 has 320 divisors, whose sum is σ = 19178772480. Its totient is φ = 1547320320.

The previous prime is 5921016811. The next prime is 5921016817. The reversal of 5921016816 is 6186101295.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5921016811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10824255 + ... + 10824801.

It is an arithmetic number, because the mean of its divisors is an integer number (59933664).

Almost surely, 25921016816 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 5921016816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589386240).

5921016816 is an abundant number, since it is smaller than the sum of its proper divisors (13257755664).

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

5921016816 is a wasteful number, since it uses less digits than its factorization.

5921016816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 5921016816 is about 76948.1436813131. The cubic root of 5921016816 is about 1809.1119048043. Note that the first 3 decimals are identical.

The spelling of 5921016816 in words is "five billion, nine hundred twenty-one million, sixteen thousand, eight hundred sixteen".