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196981617980196 = 2234722322921672
BaseRepresentation
bin101100110010011101011011…
…010111011111001100100100
3221211110020222122100102110000
4230302131123113133030210
5201304321323200331241
61534540034523301300
756330311060421100
oct5462353327371444
9854406878312400
10196981617980196
1157845487060075
121a11443537a830
1385bb3963440aa
14368dd6569a900
1517b8e25b80eb6
hexb3275b5df324

196981617980196 has 1215 divisors, whose sum is σ = 652443313210689. Its totient is φ = 51665918097024.

The previous prime is 196981617980141. The next prime is 196981617980197. The reversal of 196981617980196 is 691089716189691.

The square root of 196981617980196 is 14035014.

It is a perfect power (a square), and thus also a powerful number.

196981617980196 is a `hidden beast` number, since 1 + 96 + 98 + 16 + 179 + 80 + 196 = 666.

196981617980196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103292382317796 + 93689235662400 = 10163286^2 + 9679320^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (196981617980197) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1179530646505 + ... + 1179530646671.

Almost surely, 2196981617980196 is an apocalyptic number.

196981617980196 is the 14035014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196981617980196

196981617980196 is an abundant number, since it is smaller than the sum of its proper divisors (455461695230493).

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

196981617980196 is a wasteful number, since it uses less digits than its factorization.

196981617980196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 81.

196981617980196 divided by its sum of digits (81) gives a square (2431871826916 = 15594462).

The spelling of 196981617980196 in words is "one hundred ninety-six trillion, nine hundred eighty-one billion, six hundred seventeen million, nine hundred eighty thousand, one hundred ninety-six".