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20193843839202 = 232111095563168197
BaseRepresentation
bin1001001011101101111101…
…11000111000000011100010
32122111111211200211211010200
410211312332320320003202
510121323443010323302
6110540531312210030
74152646163331135
oct445667670700342
978444750754120
1020193843839202
116486185438540
122321851539916
13b3636b08bcc7
144db55c8c021c
1525044cb2781c
hex125dbee380e2

20193843839202 has 96 divisors (see below), whose sum is σ = 48177747034560. Its totient is φ = 6062079864960.

The previous prime is 20193843839123. The next prime is 20193843839203. The reversal of 20193843839202 is 20293834839102.

20193843839202 is a `hidden beast` number, since 20 + 1 + 9 + 38 + 4 + 383 + 9 + 202 = 666.

It is not an unprimeable number, because it can be changed into a prime (20193843839203) 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 47 ways as a sum of consecutive naturals, for example, 119976568 + ... + 120144764.

It is an arithmetic number, because the mean of its divisors is an integer number (501851531610).

Almost surely, 220193843839202 is an apocalyptic number.

20193843839202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20193843839202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088873517280).

20193843839202 is an abundant number, since it is smaller than the sum of its proper divisors (27983903195358).

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

20193843839202 is a wasteful number, since it uses less digits than its factorization.

20193843839202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173888 (or 173885 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 20193843839202 in words is "twenty trillion, one hundred ninety-three billion, eight hundred forty-three million, eight hundred thirty-nine thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1962 2398 3597 5563 7194 10791 11126 16689 21582 33378 50067 61193 100134 122386 168197 183579 336394 367158 504591 550737 606367 1009182 1101474 1212734 1513773 1819101 1850167 3027546 3638202 3700334 5457303 5550501 6670037 10914606 11101002 13340074 16651503 18333473 20010111 33303006 36666946 40020222 55000419 60030333 110000838 120060666 165001257 201668203 330002514 403336406 605004609 935679911 1210009218 1815013827 1871359822 2807039733 3630027654 5614079466 8421119199 10292479021 16842238398 20584958042 30877437063 61754874126 92632311189 101989110299 185264622378 203978220598 305967330897 611934661794 917901992691 1121880213289 1835803985382 2243760426578 3365640639867 6731281279734 10096921919601 20193843839202