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107841650688 = 21632199623
BaseRepresentation
bin110010001101111011…
…1010000000000000000
3101022100200002110201200
41210123313100000000
53231324430310223
6121313004501200
710535262622602
oct1443367200000
9338320073650
10107841650688
114180a889352
1218a97b4a800
13a2282bc535
1453106a9172
152c128a6a43
hex191bdd0000

107841650688 has 204 divisors, whose sum is σ = 327971099040. Its totient is φ = 34051719168.

The previous prime is 107841650681. The next prime is 107841650747. The reversal of 107841650688 is 886056148701.

It is a happy number.

107841650688 is a `hidden beast` number, since 10 + 7 + 8 + 41 + 6 + 506 + 88 = 666.

It is a super-2 number, since 2×1078416506882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107841650681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11201845 + ... + 11211467.

Almost surely, 2107841650688 is an apocalyptic number.

107841650688 is a gapful number since it is divisible by the number (18) 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 107841650688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163985549520).

107841650688 is an abundant number, since it is smaller than the sum of its proper divisors (220129448352).

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

107841650688 is an frugal number, since it uses more digits than its factorization.

107841650688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 107841650688 in words is "one hundred seven billion, eight hundred forty-one million, six hundred fifty thousand, six hundred eighty-eight".