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196671504384 = 2163437049
BaseRepresentation
bin1011011100101010001…
…0010000000000000000
3200210122101010120220000
42313022202100000000
511210240401120014
6230203304520000
720131463130105
oct2671242200000
9623571116800
10196671504384
1176453a34183
1232148a80000
1315713870844
14973a008aac
1551b1143509
hex2dca890000

196671504384 has 170 divisors, whose sum is σ = 587597846550. Its totient is φ = 65555398656.

The previous prime is 196671504373. The next prime is 196671504389. The reversal of 196671504384 is 483405176691.

196671504384 is a `hidden beast` number, since 1 + 9 + 66 + 71 + 504 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135895449600 + 60776054784 = 368640^2 + 246528^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 196671504384.

It is not an unprimeable number, because it can be changed into a prime (196671504389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5289892 + ... + 5326940.

Almost surely, 2196671504384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196671504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293798923275).

196671504384 is an abundant number, since it is smaller than the sum of its proper divisors (390926342166).

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

196671504384 is an frugal number, since it uses more digits than its factorization.

196671504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37093 (or 37054 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 196671504384 in words is "one hundred ninety-six billion, six hundred seventy-one million, five hundred four thousand, three hundred eighty-four".