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196350487200 = 25325273433
BaseRepresentation
bin1011011011011101100…
…1101010101010100000
3200202211000002020002200
42312313121222222200
511204111211042300
6230111400213200
720120514414000
oct2666731525240
9622730066080
10196350487200
11762a980521a
123207946a200
13156921c464a
149709524000
155192d82200
hex2db766aaa0

196350487200 has 864 divisors, whose sum is σ = 826665840000. Its totient is φ = 43836387840.

The previous prime is 196350487163. The next prime is 196350487213. The reversal of 196350487200 is 2784053691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

196350487200 is a `hidden beast` number, since 1 + 9 + 63 + 504 + 87 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4566290379 + ... + 4566290421.

It is a 1-persistent number, because it is pandigital, but 2⋅196350487200 = 392700974400 is not.

Almost surely, 2196350487200 is an apocalyptic number.

196350487200 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 196350487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413332920000).

196350487200 is an abundant number, since it is smaller than the sum of its proper divisors (630315352800).

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

196350487200 is an frugal number, since it uses more digits than its factorization.

196350487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 196350487200 in words is "one hundred ninety-six billion, three hundred fifty million, four hundred eighty-seven thousand, two hundred".