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20016687020337 = 3373731279221999
BaseRepresentation
bin1001000110100011111111…
…00001001111100100110001
32121212120120100000222012000
410203101333201033210301
510110423133334122322
6110323312234524213
74134105110243640
oct443217741174461
977776510028160
1020016687020337
116418035a97437
1222b344bb96669
13b227474b3477
144d2b54549357
1524aa2ed383ac
hex12347f84f931

20016687020337 has 64 divisors (see below), whose sum is σ = 34008268800000. Its totient is φ = 11398471326144.

The previous prime is 20016687020321. The next prime is 20016687020377. The reversal of 20016687020337 is 73302078661002.

20016687020337 is a `hidden beast` number, since 200 + 16 + 6 + 87 + 0 + 20 + 337 = 666.

It is not a de Polignac number, because 20016687020337 - 24 = 20016687020321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20016687020292 and 20016687020301.

It is not an unprimeable number, because it can be changed into a prime (20016687020377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 90054664 + ... + 90276662.

It is an arithmetic number, because the mean of its divisors is an integer number (531379200000).

Almost surely, 220016687020337 is an apocalyptic number.

20016687020337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20016687020337 is a deficient number, since it is larger than the sum of its proper divisors (13991581779663).

20016687020337 is a wasteful number, since it uses less digits than its factorization.

20016687020337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223667 (or 223661 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20016687020337 in words is "twenty trillion, sixteen billion, six hundred eighty-seven million, twenty thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 373 1119 1279 2611 3357 3837 7833 8953 10071 11511 23499 26859 34533 70497 80577 221999 241731 477067 665997 1431201 1553993 1997991 3339469 4293603 4661979 5993973 10018407 12880809 13985937 30055221 41957811 82805627 90165663 248416881 283936721 579639389 745250643 851810163 1738918167 1987557047 2235751929 2555430489 5216754501 5962671141 7666291467 15650263503 17888013423 53664040269 105908396933 317725190799 741358778531 953175572397 2224076335593 2859526717191 6672229006779 20016687020337