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196171200000 = 29335519239
BaseRepresentation
bin1011011010110010110…
…1101111011000000000
3200202100111201111022000
42312230231233120000
511203224311400000
6230041513344000
720113206454536
oct2665455573000
9622314644260
10196171200000
117621758a086
1232029408000
1315664010049
1496cd7b4156
15518226a000
hex2dacb6f600

196171200000 has 960 divisors, whose sum is σ = 767200896000. Its totient is φ = 49351680000.

The previous prime is 196171199969. The next prime is 196171200023. The reversal of 196171200000 is 2171691.

196171200000 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 820799881 + ... + 820800119.

It is an arithmetic number, because the mean of its divisors is an integer number (799167600).

Almost surely, 2196171200000 is an apocalyptic number.

196171200000 is a gapful number since it is divisible by the number (10) 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 196171200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448000).

196171200000 is an abundant number, since it is smaller than the sum of its proper divisors (571029696000).

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

196171200000 is an frugal number, since it uses more digits than its factorization.

196171200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 196171200000 its reverse (2171691), we get a palindrome (196173371691).

The spelling of 196171200000 in words is "one hundred ninety-six billion, one hundred seventy-one million, two hundred thousand".