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195117218296 = 2371113316711731
BaseRepresentation
bin1011010110110111100…
…1000111100111111000
3200122122001110200012121
42311231321013213320
511144100001441141
6225345143051024
720045120663560
oct2655571074770
9618561420177
10195117218296
1175826646020
1231994440a74
1315526852330
14962d813da0
15511e9741d1
hex2d6de479f8

195117218296 has 256 divisors, whose sum is σ = 514661253120. Its totient is φ = 66889152000.

The previous prime is 195117218281. The next prime is 195117218333. The reversal of 195117218296 is 692812711591.

195117218296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16626751 + ... + 16638481.

It is an arithmetic number, because the mean of its divisors is an integer number (2010395520).

Almost surely, 2195117218296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195117218296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257330626560).

195117218296 is an abundant number, since it is smaller than the sum of its proper divisors (319544034824).

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

195117218296 is a wasteful number, since it uses less digits than its factorization.

195117218296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11862 counting only the distinct ones).

The product of its digits is 544320, while the sum is 52.

The spelling of 195117218296 in words is "one hundred ninety-five billion, one hundred seventeen million, two hundred eighteen thousand, two hundred ninety-six".