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196388831232 = 214341121223
BaseRepresentation
bin1011011011100110101…
…1111100000000000000
3200202220200020022020000
42312321223330000000
511204201020044412
6230115250120000
720121461344116
oct2667153740000
9622820208200
10196388831232
1176319414700
123208a280000
131569a12b519
149710665ab6
1551964084dc
hex2db9afc000

196388831232 has 450 divisors, whose sum is σ = 645438861144. Its totient is φ = 59463106560.

The previous prime is 196388831231. The next prime is 196388831269. The reversal of 196388831232 is 232138883691.

196388831232 is a `hidden beast` number, since 196 + 38 + 88 + 312 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196388831231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 160578973 + ... + 160580195.

Almost surely, 2196388831232 is an apocalyptic number.

196388831232 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 196388831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322719430572).

196388831232 is an abundant number, since it is smaller than the sum of its proper divisors (449050029912).

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

196388831232 is an equidigital number, since it uses as much as digits as its factorization.

196388831232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1239 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 196388831232 in words is "one hundred ninety-six billion, three hundred eighty-eight million, eight hundred thirty-one thousand, two hundred thirty-two".