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16731514040 = 2352919972481
BaseRepresentation
bin11111001010100011…
…01010010010111000
31121012001021222102012
433211101222102320
5233231231422130
611404130225052
71131423344213
oct174521522270
947161258365
1016731514040
11710655a15a
1232ab425188
1317684aa787
14b4a19077a
1567dd40995
hex3e546a4b8

16731514040 has 64 divisors (see below), whose sum is σ = 39140280000. Its totient is φ = 6429265920.

The previous prime is 16731514039. The next prime is 16731514073. The reversal of 16731514040 is 4041513761.

16731514040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16731513988 and 16731514006.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 194600 + ... + 267080.

It is an arithmetic number, because the mean of its divisors is an integer number (611566875).

Almost surely, 216731514040 is an apocalyptic number.

16731514040 is a gapful number since it is divisible by the number (10) 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 16731514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570140000).

16731514040 is an abundant number, since it is smaller than the sum of its proper divisors (22408765960).

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

16731514040 is a wasteful number, since it uses less digits than its factorization.

16731514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72720 (or 72716 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 16731514040 in words is "sixteen billion, seven hundred thirty-one million, five hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 199 232 290 398 580 796 995 1160 1592 1990 3980 5771 7960 11542 23084 28855 46168 57710 72481 115420 144962 230840 289924 362405 579848 724810 1449620 2101949 2899240 4203898 8407796 10509745 14423719 16815592 21019490 28847438 42038980 57694876 72118595 84077960 115389752 144237190 288474380 418287851 576948760 836575702 1673151404 2091439255 3346302808 4182878510 8365757020 16731514040