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196327272960 = 2933575132
BaseRepresentation
bin1011011011011000000…
…1000111001000000000
3200202202101101211011000
42312312001013020000
511204034240213320
6230105210452000
720120113200000
oct2666601071000
9622671354130
10196327272960
1176297699aa5
1232071734000
131568a457200
149706400000
155190ce8c90
hex2db6047200

196327272960 has 1440 divisors, whose sum is σ = 880990577280. Its totient is φ = 41422897152.

The previous prime is 196327272931. The next prime is 196327272961. The reversal of 196327272960 is 69272723691.

196327272960 is a `hidden beast` number, since 1 + 9 + 6 + 327 + 27 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 196327272897 and 196327272906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196327272961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15102097914 + ... + 15102097926.

It is an arithmetic number, because the mean of its divisors is an integer number (611799012).

Almost surely, 2196327272960 is an apocalyptic number.

196327272960 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 196327272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440495288640).

196327272960 is an abundant number, since it is smaller than the sum of its proper divisors (684663304320).

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

196327272960 is an frugal number, since it uses more digits than its factorization.

196327272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 196327272960 in words is "one hundred ninety-six billion, three hundred twenty-seven million, two hundred seventy-two thousand, nine hundred sixty".