Search a number
-
+
33078141012 = 223723117114621
BaseRepresentation
bin11110110011100111…
…000110000001010100
310011101021100200000210
4132303213012001110
51020221001003022
623110151205420
72250464362620
oct366347060124
9104337320023
1033078141012
1113034825a24
1264b1976870
133172008807
14185b192180
15cd8ea5a0c
hex7b39c6054

33078141012 has 96 divisors (see below), whose sum is σ = 92128425984. Its totient is φ = 9031651200.

The previous prime is 33078140969. The next prime is 33078141059. The reversal of 33078141012 is 21014187033.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2255062 + ... + 2269682.

It is an arithmetic number, because the mean of its divisors is an integer number (959671104).

Almost surely, 233078141012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33078141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46064212992).

33078141012 is an abundant number, since it is smaller than the sum of its proper divisors (59050284972).

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

33078141012 is a wasteful number, since it uses less digits than its factorization.

33078141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 33078141012 in words is "thirty-three billion, seventy-eight million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1171 1932 2342 3513 4684 7026 8197 14052 14621 16394 24591 26933 29242 32788 43863 49182 53866 58484 80799 87726 98364 102347 107732 161598 175452 188531 204694 307041 323196 336283 377062 409388 565593 614082 672566 754124 1008849 1131186 1228164 1345132 2017698 2262372 2353981 4035396 4707962 7061943 9415924 14123886 17121191 28247772 34242382 51363573 68484764 102727146 119848337 205454292 239696674 359545011 393787393 479393348 719090022 787574786 1181362179 1438180044 1575149572 2362724358 2756511751 4725448716 5513023502 8269535253 11026047004 16539070506 33078141012