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16542786039380 = 22517217372238361
BaseRepresentation
bin1111000010111010101011…
…1000101010111001010100
32011120110211012110112000022
43300232222320222321110
54132014111211230010
655103352340404312
73325114442150546
oct360565270527124
964513735415008
1016542786039380
1152a88354a4597
121a321296a6698
1392cc93968343
1441296473b696
151da4b0dc3d55
hexf0baae2ae54

16542786039380 has 48 divisors (see below), whose sum is σ = 36785079945936. Its totient is φ = 6227583098880.

The previous prime is 16542786039331. The next prime is 16542786039517. The reversal of 16542786039380 is 8393068724561.

It can be written as a sum of positive squares in 8 ways, for example, as 41414692036 + 16501371347344 = 203506^2 + 4062188^2 .

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6271400 + ... + 8509760.

It is an arithmetic number, because the mean of its divisors is an integer number (766355832207).

It is a 1-persistent number, because it is pandigital, but 2⋅16542786039380 = 33085572078760 is not.

Almost surely, 216542786039380 is an apocalyptic number.

16542786039380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16542786039380 is an abundant number, since it is smaller than the sum of its proper divisors (20242293906556).

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

16542786039380 is a wasteful number, since it uses less digits than its factorization.

16542786039380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260124 (or 2260122 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 16542786039380 in words is "sixteen trillion, five hundred forty-two billion, seven hundred eighty-six million, thirty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 21737 43474 86948 108685 217370 369529 434740 739058 1478116 1847645 2238361 3695290 4476722 7390580 8953444 11191805 22383610 38052137 44767220 76104274 152208548 190260685 380521370 761042740 48655253057 97310506114 194621012228 243276265285 486552530570 827139301969 973105061140 1654278603938 3308557207876 4135696509845 8271393019690 16542786039380