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196475328000 = 293353737439
BaseRepresentation
bin1011011011111011010…
…1111001011000000000
3200210010200222210111000
42312332311321120000
511204340140444000
6230132020052000
720123561506230
oct2667665713000
9623120883430
10196475328000
1176363222a36
12320b3234000
13156b2024a43
14971bd3dcc0
15519dce2000
hex2dbed79600

196475328000 has 1280 divisors, whose sum is σ = 853859635200. Its totient is φ = 43595366400.

The previous prime is 196475327999. The next prime is 196475328013. The reversal of 196475328000 is 823574691.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 447551781 + ... + 447552219.

It is an arithmetic number, because the mean of its divisors is an integer number (667077840).

It is a 1-persistent number, because it is pandigital, but 2⋅196475328000 = 392950656000 is not.

Almost surely, 2196475328000 is an apocalyptic number.

196475328000 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 196475328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426929817600).

196475328000 is an abundant number, since it is smaller than the sum of its proper divisors (657384307200).

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

196475328000 is an equidigital number, since it uses as much as digits as its factorization.

196475328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

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

The spelling of 196475328000 in words is "one hundred ninety-six billion, four hundred seventy-five million, three hundred twenty-eight thousand".