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16545386240 = 28529617307
BaseRepresentation
bin11110110100010111…
…01000111100000000
31120201002001201001222
433122023220330000
5232341104324430
611333441014212
71124003314445
oct173213507400
946632051058
1016545386240
117020491629
123259024368
131738a6c696
14b2d57d9cc
1566c8269e5
hex3da2e8f00

16545386240 has 144 divisors (see below), whose sum is σ = 41675770080. Its totient is φ = 6284328960.

The previous prime is 16545386227. The next prime is 16545386243. The reversal of 16545386240 is 4268354561.

It is a junction number, because it is equal to n+sod(n) for n = 16545386191 and 16545386200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16545386243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260667 + ... + 2267973.

It is an arithmetic number, because the mean of its divisors is an integer number (289415070).

Almost surely, 216545386240 is an apocalyptic number.

16545386240 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 16545386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837885040).

16545386240 is an abundant number, since it is smaller than the sum of its proper divisors (25130383840).

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

16545386240 is an equidigital number, since it uses as much as digits as its factorization.

16545386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 16545386240 in words is "sixteen billion, five hundred forty-five million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 61 64 80 116 122 128 145 160 232 244 256 290 305 320 464 488 580 610 640 928 976 1160 1220 1280 1769 1856 1952 2320 2440 3538 3712 3904 4640 4880 7076 7307 7424 7808 8845 9280 9760 14152 14614 15616 17690 18560 19520 28304 29228 35380 36535 37120 39040 56608 58456 70760 73070 78080 113216 116912 141520 146140 211903 226432 233824 283040 292280 423806 445727 452864 467648 566080 584560 847612 891454 935296 1059515 1132160 1169120 1695224 1782908 1870592 2119030 2228635 2264320 2338240 3390448 3565816 4238060 4457270 4676480 6780896 7131632 8476120 8914540 9352960 12926083 13561792 14263264 16952240 17829080 25852166 27123584 28526528 33904480 35658160 51704332 54247168 57053056 64630415 67808960 71316320 103408664 114106112 129260830 135617920 142632640 206817328 258521660 271235840 285265280 413634656 517043320 570530560 827269312 1034086640 1654538624 2068173280 3309077248 4136346560 8272693120 16545386240