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21025042146 = 23231417911633
BaseRepresentation
bin10011100101001100…
…001010111011100010
32000021021022210201200
4103211030022323202
5321024402322041
613354143342030
71343006623653
oct234514127342
960237283650
1021025042146
118a0a0a7399
1240a92b1916
131ca0b72254
1410364b152a
15830c471b6
hex4e530aee2

21025042146 has 96 divisors (see below), whose sum is σ = 48784619520. Its totient is φ = 6532531200.

The previous prime is 21025042123. The next prime is 21025042153. The reversal of 21025042146 is 64124052012.

21025042146 is a `hidden beast` number, since 2 + 10 + 2 + 504 + 2 + 146 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1801546 + ... + 1813178.

It is an arithmetic number, because the mean of its divisors is an integer number (508173120).

Almost surely, 221025042146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21025042146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392309760).

21025042146 is an abundant number, since it is smaller than the sum of its proper divisors (27759577374).

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

21025042146 is a wasteful number, since it uses less digits than its factorization.

21025042146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21025042146 its reverse (64124052012), we get a palindrome (85149094158).

The spelling of 21025042146 in words is "twenty-one billion, twenty-five million, forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 41 62 79 82 93 123 158 186 237 246 279 369 474 558 711 738 1271 1422 2449 2542 3239 3813 4898 6478 7347 7626 9717 11439 11633 14694 19434 22041 22878 23266 29151 34899 44082 58302 69798 100409 104697 200818 209394 301227 360623 476953 602454 721246 903681 919007 953906 1081869 1430859 1807362 1838014 2163738 2757021 2861718 3245607 4292577 5514042 6491214 8271063 8585154 14785543 16542126 28489217 29571086 37679287 44356629 56978434 75358574 85467651 88713258 113037861 133069887 170935302 226075722 256402953 266139774 339113583 512805906 678227166 1168057897 2336115794 3504173691 7008347382 10512521073 21025042146