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196817532912 = 2433711131741653
BaseRepresentation
bin1011011101001100111…
…1010011011111110000
3200211000112220121101000
42313103033103133300
511211040242023122
6230230002442000
720135215266210
oct2672317233760
9624015817330
10196817532912
1176519403610
1232189963300
1315737babb60
14975157c240
1551bdd8b0ac
hex2dd33d37f0

196817532912 has 1280 divisors, whose sum is σ = 823987261440. Its totient is φ = 43263590400.

The previous prime is 196817532911. The next prime is 196817532931. The reversal of 196817532912 is 219235718691.

It is a happy number.

196817532912 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 17 + 532 + 91 + 2 = 666.

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 (196817532911) 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 255 ways as a sum of consecutive naturals, for example, 301404778 + ... + 301405430.

It is an arithmetic number, because the mean of its divisors is an integer number (643740048).

Almost surely, 2196817532912 is an apocalyptic number.

196817532912 is a gapful number since it is divisible by the number (12) 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 196817532912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411993630720).

196817532912 is an abundant number, since it is smaller than the sum of its proper divisors (627169728528).

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

196817532912 is a wasteful number, since it uses less digits than its factorization.

196817532912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 196817532912 in words is "one hundred ninety-six billion, eight hundred seventeen million, five hundred thirty-two thousand, nine hundred twelve".