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194956886016 = 217356121
BaseRepresentation
bin1011010110010001010…
…1100000000000000000
3200122012212202221200000
42311210111200000000
511143232430323031
6225321214400000
720041133121534
oct2654425400000
9618185687600
10194956886016
1175754097002
123194a800000
13154cc576569
1496163d9bc4
1551108533e6
hex2d64560000

194956886016 has 216 divisors, whose sum is σ = 584161558344. Its totient is φ = 64975011840.

The previous prime is 194956885969. The next prime is 194956886077. The reversal of 194956886016 is 610688659491.

194956886016 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 568 + 8 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31847436 + ... + 31853556.

It is an arithmetic number, because the mean of its divisors is an integer number (2704451659).

Almost surely, 2194956886016 is an apocalyptic number.

194956886016 is a gapful number since it is divisible by the number (16) 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 194956886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292080779172).

194956886016 is an abundant number, since it is smaller than the sum of its proper divisors (389204672328).

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

194956886016 is an frugal number, since it uses more digits than its factorization.

194956886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 194956886016 in words is "one hundred ninety-four billion, nine hundred fifty-six million, eight hundred eighty-six thousand, sixteen".