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6106042654650 = 23752498711197
BaseRepresentation
bin101100011011010110010…
…0000001101111110111010
3210121201202121111120000000
41120312230200031332322
51300020133404422100
620553024405053430
71200101300130501
oct130665440157672
923551677446000
106106042654650
111a44615992414
128274853b7276
13353a49a21223
141717695a3838
15a8c73933900
hex58dac80dfba

6106042654650 has 192 divisors, whose sum is σ = 17038199544960. Its totient is φ = 1627806144960.

The previous prime is 6106042654609. The next prime is 6106042654651. The reversal of 6106042654650 is 564562406016.

6106042654650 is a `hidden beast` number, since 6 + 1 + 0 + 60 + 42 + 6 + 546 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6106042654596 and 6106042654605.

It is not an unprimeable number, because it can be changed into a prime (6106042654651) by changing a digit.

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, 545322852 + ... + 545334048.

It is an arithmetic number, because the mean of its divisors is an integer number (88740622630).

Almost surely, 26106042654650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106042654650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519099772480).

6106042654650 is an abundant number, since it is smaller than the sum of its proper divisors (10932156890310).

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

6106042654650 is a wasteful number, since it uses less digits than its factorization.

6106042654650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16194 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 6106042654650 in words is "six trillion, one hundred six billion, forty-two million, six hundred fifty-four thousand, six hundred fifty".