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194756056446532 = 227283972334311229
BaseRepresentation
bin101100010010000100101101…
…100011111111011001000100
3221112120111102102200102210111
4230102010231203333121010
5201011340400422242112
61530113410332002404
756010442430465200
oct5422045543773104
9845514372612714
10194756056446532
1157067641647559
1219a15041300404
138489556b09209
143614359d6db00
15177b0ba5db5a7
hexb1212d8ff644

194756056446532 has 288 divisors, whose sum is σ = 408397404280320. Its totient is φ = 81006371389440.

The previous prime is 194756056446421. The next prime is 194756056446541. The reversal of 194756056446532 is 235644650657491.

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 95 ways as a sum of consecutive naturals, for example, 158467091694 + ... + 158467092922.

It is an arithmetic number, because the mean of its divisors is an integer number (1418046542640).

Almost surely, 2194756056446532 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 194756056446532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204198702140160).

194756056446532 is an abundant number, since it is smaller than the sum of its proper divisors (213641347833788).

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

194756056446532 is a wasteful number, since it uses less digits than its factorization.

194756056446532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 67.

The spelling of 194756056446532 in words is "one hundred ninety-four trillion, seven hundred fifty-six billion, fifty-six million, four hundred forty-six thousand, five hundred thirty-two".