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16520205042 = 2331178735339
BaseRepresentation
bin11110110001010111…
…00101001011110010
31120122022200100222000
433120223211023302
5232313133030132
611331141154430
71123246266045
oct173053451362
946568610860
1016520205042
117008252620
1232506bba16
131733793b73
14b2a0a6c5c
1566a50087c
hex3d8ae52f2

16520205042 has 64 divisors (see below), whose sum is σ = 40101004800. Its totient is φ = 4999620240.

The previous prime is 16520205041. The next prime is 16520205077. The reversal of 16520205042 is 24050202561.

16520205042 is a `hidden beast` number, since 1 + 652 + 0 + 2 + 0 + 5 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16520204997 and 16520205015.

It is not an unprimeable number, because it can be changed into a prime (16520205041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449809 + ... + 485147.

It is an arithmetic number, because the mean of its divisors is an integer number (626578200).

Almost surely, 216520205042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16520205042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050502400).

16520205042 is an abundant number, since it is smaller than the sum of its proper divisors (23580799758).

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

16520205042 is a wasteful number, since it uses less digits than its factorization.

16520205042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36148 (or 36142 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 16520205042 in words is "sixteen billion, five hundred twenty million, two hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 787 1574 2361 4722 7083 8657 14166 17314 21249 25971 35339 42498 51942 70678 77913 106017 155826 212034 233739 318051 388729 467478 636102 777458 954153 1166187 1908306 2332374 3498561 6997122 10495683 20991366 27811793 55623586 83435379 166870758 250306137 305929723 500612274 611859446 750918411 917789169 1501836822 1835578338 2753367507 5506735014 8260102521 16520205042