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5873468016 = 2431343121839
BaseRepresentation
bin1010111100001011…
…00000001001110000
3120011022222002102110
411132011200021300
544012101434031
62410452445320
7265356440313
oct53605401160
916138862373
105873468016
1125444684a9
12117b019840
13727ac5980
143da0b297a
15245991c46
hex15e160270

5873468016 has 80 divisors (see below), whose sum is σ = 16378951680. Its totient is φ = 1802945280.

The previous prime is 5873468011. The next prime is 5873468059. The reversal of 5873468016 is 6108643785.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5873468011) 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 15 ways as a sum of consecutive naturals, for example, 258025 + ... + 279863.

It is an arithmetic number, because the mean of its divisors is an integer number (204736896).

Almost surely, 25873468016 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 5873468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

5873468016 is an abundant number, since it is smaller than the sum of its proper divisors (10505483664).

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

5873468016 is a wasteful number, since it uses less digits than its factorization.

5873468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22294 (or 22288 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5873468016 is about 76638.5543704994. The cubic root of 5873468016 is about 1804.2561849079.

The spelling of 5873468016 in words is "five billion, eight hundred seventy-three million, four hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 431 624 862 1293 1724 2586 3448 5172 5603 6896 10344 11206 16809 20688 21839 22412 33618 43678 44824 65517 67236 87356 89648 131034 134472 174712 262068 268944 283907 349424 524136 567814 851721 1048272 1135628 1703442 2271256 3406884 4542512 6813768 9412609 13627536 18825218 28237827 37650436 56475654 75300872 112951308 122363917 150601744 225902616 244727834 367091751 451805232 489455668 734183502 978911336 1468367004 1957822672 2936734008 5873468016