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196230408192 = 211357213619
BaseRepresentation
bin1011011011000000111…
…1100110100000000000
3200202111122010120200000
42312300033212200000
511203334441030232
6230051430400000
720114525643300
oct2666017464000
9622448116600
10196230408192
1176247a4a075
1232045200000
1315673370790
1496d75c7600
15518756327c
hex2db03e6800

196230408192 has 864 divisors, whose sum is σ = 737479360800. Its totient is φ = 51669467136.

The previous prime is 196230408191. The next prime is 196230408233. The reversal of 196230408192 is 291804032691.

196230408192 is a `hidden beast` number, since 1 + 9 + 6 + 230 + 408 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196230408191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011659 + ... + 317012277.

It is an arithmetic number, because the mean of its divisors is an integer number (853564075).

Almost surely, 2196230408192 is an apocalyptic number.

196230408192 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 196230408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368739680400).

196230408192 is an abundant number, since it is smaller than the sum of its proper divisors (541248952608).

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

196230408192 is an equidigital number, since it uses as much as digits as its factorization.

196230408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 196230408192 in words is "one hundred ninety-six billion, two hundred thirty million, four hundred eight thousand, one hundred ninety-two".