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219391193912 = 2311137179101663
BaseRepresentation
bin1100110001010010111…
…0111111001100111000
3202222021202020101210112
43030110232333030320
512043303121201122
6244441550403452
721564501244022
oct3142456771470
9688252211715
10219391193912
11850526781a0
1236629800588
13178c4836c07
14a8935ab012
155a90a332e2
hex3314bbf338

219391193912 has 64 divisors (see below), whose sum is σ = 454560076800. Its totient is φ = 98441347840.

The previous prime is 219391193909. The next prime is 219391193947.

219391193912 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2193911939122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107193 + ... + 2208855.

It is an arithmetic number, because the mean of its divisors is an integer number (7102501200).

Almost surely, 2219391193912 is an apocalyptic number.

219391193912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219391193912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227280038400).

219391193912 is an abundant number, since it is smaller than the sum of its proper divisors (235168882888).

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

219391193912 is a wasteful number, since it uses less digits than its factorization.

219391193912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101996 (or 101992 counting only the distinct ones).

The product of its digits is 236196, while the sum is 50.

The spelling of 219391193912 in words is "two hundred nineteen billion, three hundred ninety-one million, one hundred ninety-three thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 137 179 274 358 548 716 1096 1432 1507 1969 3014 3938 6028 7876 12056 15752 24523 49046 98092 101663 196184 203326 269753 406652 539506 813304 1079012 1118293 2158024 2236586 4473172 8946344 13927831 18197677 27855662 36395354 55711324 72790708 111422648 145581416 153206141 200174447 306412282 400348894 612824564 800697788 1225649128 1601395576 2493081749 4986163498 9972326996 19944653992 27423899239 54847798478 109695596956 219391193912