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196816336920 = 233457233071229
BaseRepresentation
bin1011011101001100101…
…0101111100000011000
3200211000110122211210000
42313103022233200120
511211034440240140
6230225521053000
720135202155310
oct2672312574030
9624013584700
10196816336920
1176518766a95
1232189487160
1315737880678
14975134a440
1551bdc01a30
hex2dd32af818

196816336920 has 640 divisors, whose sum is σ = 792108979200. Its totient is φ = 42855588864.

The previous prime is 196816336919. The next prime is 196816336921. The reversal of 196816336920 is 29633618691.

196816336920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196816336919) and next prime (196816336921).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196816336921) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 160142866 + ... + 160144094.

It is an arithmetic number, because the mean of its divisors is an integer number (1237670280).

Almost surely, 2196816336920 is an apocalyptic number.

196816336920 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 196816336920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396054489600).

196816336920 is an abundant number, since it is smaller than the sum of its proper divisors (595292642280).

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

196816336920 is a wasteful number, since it uses less digits than its factorization.

196816336920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 196816336920 in words is "one hundred ninety-six billion, eight hundred sixteen million, three hundred thirty-six thousand, nine hundred twenty".