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195095992232064 = 27371161132181883
BaseRepresentation
bin101100010111000001010011…
…010100000110100010000000
3221120202222212010211120100110
4230113001103110012202000
5201032423043002411224
61530533510031351320
756044135363132260
oct5427012324064200
9846688763746313
10195095992232064
1157188822522590
1219a6aab1082540
1384b261c5c6041
1436269a6d257a0
151784d63cea929
hexb17053506880

195095992232064 has 512 divisors, whose sum is σ = 657194014033920. Its totient is φ = 49805217792000.

The previous prime is 195095992232047. The next prime is 195095992232083. The reversal of 195095992232064 is 460232299590591.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 195095992231986 and 195095992232004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2382578067 + ... + 2382659949.

It is an arithmetic number, because the mean of its divisors is an integer number (1283582058660).

Almost surely, 2195095992232064 is an apocalyptic number.

195095992232064 is a gapful number since it is divisible by the number (14) 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 195095992232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328597007016960).

195095992232064 is an abundant number, since it is smaller than the sum of its proper divisors (462098021801856).

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

195095992232064 is a wasteful number, since it uses less digits than its factorization.

195095992232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83300 (or 83288 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 66.

The spelling of 195095992232064 in words is "one hundred ninety-five trillion, ninety-five billion, nine hundred ninety-two million, two hundred thirty-two thousand, sixty-four".