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42104689650 = 233521729411543
BaseRepresentation
bin100111001101101000…
…101001001111110010
311000200100101211221000
4213031220221033302
51142212300032100
631202001342430
73020251646142
oct471550511762
9130610354830
1042104689650
1116946aaa581
1281b0937a16
133c80122b5a
142075d18922
151166678900
hex9cda293f2

42104689650 has 384 divisors, whose sum is σ = 130266662400. Its totient is φ = 9947750400.

The previous prime is 42104689631. The next prime is 42104689673. The reversal of 42104689650 is 5698640124.

42104689650 is a `hidden beast` number, since 42 + 10 + 468 + 96 + 50 = 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 = 42104689596 and 42104689605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27286779 + ... + 27288321.

It is an arithmetic number, because the mean of its divisors is an integer number (339236100).

Almost surely, 242104689650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104689650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65133331200).

42104689650 is an abundant number, since it is smaller than the sum of its proper divisors (88161972750).

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

42104689650 is a wasteful number, since it uses less digits than its factorization.

42104689650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42104689650 in words is "forty-two billion, one hundred four million, six hundred eighty-nine thousand, six hundred fifty".