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5921984172 = 22313892271879
BaseRepresentation
bin1011000001111101…
…00100111010101100
3120021201020222002010
411200332210322230
544112011443142
62415344401220
7266516014656
oct54076447254
916251228063
105921984172
1125698953a5
121193316210
13734b81860
144027016d6
15249d76e9c
hex160fa4eac

5921984172 has 96 divisors (see below), whose sum is σ = 15122419200. Its totient is φ = 1792783872.

The previous prime is 5921984099. The next prime is 5921984177. The reversal of 5921984172 is 2714891295.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5921984177) 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 31 ways as a sum of consecutive naturals, for example, 3150729 + ... + 3152607.

It is an arithmetic number, because the mean of its divisors is an integer number (157525200).

Almost surely, 25921984172 is an apocalyptic number.

5921984172 is a gapful number since it is divisible by the number (52) 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 5921984172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561209600).

5921984172 is an abundant number, since it is smaller than the sum of its proper divisors (9200435028).

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

5921984172 is a wasteful number, since it uses less digits than its factorization.

5921984172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2213 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 5921984172 is about 76954.4291902682. The cubic root of 5921984172 is about 1809.2104216646.

The spelling of 5921984172 in words is "five billion, nine hundred twenty-one million, nine hundred eighty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 227 267 356 454 534 681 908 1068 1157 1362 1879 2314 2724 2951 3471 3758 4628 5637 5902 6942 7516 8853 11274 11804 13884 17706 20203 22548 24427 35412 40406 48854 60609 73281 80812 97708 121218 146562 167231 242436 262639 293124 334462 426533 501693 525278 668924 787917 853066 1003386 1050556 1279599 1575834 1706132 2006772 2174003 2559198 3151668 4348006 5118396 5544929 6522009 8696012 11089858 13044018 16634787 22179716 26088036 33269574 37961437 66539148 75922874 113884311 151845748 227768622 455537244 493498681 986997362 1480496043 1973994724 2960992086 5921984172