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20082353932170 = 23251973316021919
BaseRepresentation
bin1001001000011110010011…
…00100101000011110001010
32122002212001202220201112200
410210033021210220132022
510113012130101312140
6110413412300421030
74141621310630325
oct444171144503612
978085052821480
1020082353932170
116442973281202
122304117847776
13b289b0cc4b0a
144d5dc38a37bc
1524c5c4d2b030
hex1243c992878a

20082353932170 has 96 divisors (see below), whose sum is σ = 55037217830400. Its totient is φ = 5066514997632.

The previous prime is 20082353932061. The next prime is 20082353932171. The reversal of 20082353932170 is 7123935328002.

20082353932170 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 23 + 539 + 3 + 21 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20082353932171) 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 47 ways as a sum of consecutive naturals, for example, 6757530 + ... + 9264389.

It is an arithmetic number, because the mean of its divisors is an integer number (573304352400).

Almost surely, 220082353932170 is an apocalyptic number.

20082353932170 is an abundant number, since it is smaller than the sum of its proper divisors (34954863898230).

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

20082353932170 is a wasteful number, since it uses less digits than its factorization.

20082353932170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022684 (or 16022681 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20082353932170 in words is "twenty trillion, eighty-two billion, three hundred fifty-three million, nine hundred thirty-two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 733 855 1466 1710 2199 3665 4398 6597 7330 10995 13194 13927 21990 27854 32985 41781 65970 69635 83562 125343 139270 208905 250686 417810 626715 1253430 16021919 32043838 48065757 80109595 96131514 144197271 160219190 240328785 288394542 304416461 480657570 608832922 720986355 913249383 1441972710 1522082305 1826498766 2739748149 3044164610 4566246915 5479496298 9132493830 11744066627 13698740745 23488133254 27397481490 35232199881 58720333135 70464399762 105696599643 117440666270 176160999405 211393199286 223137265913 352321998810 446274531826 528482998215 669411797739 1056965996430 1115686329565 1338823595478 2008235393217 2231372659130 3347058988695 4016470786434 6694117977390 10041176966085 20082353932170