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42035500312050 = 23527235713048337
BaseRepresentation
bin10011000111011001001110…
…00100000110010111110010
312111211112222021212120022210
421203230213010012113302
521002202201034441200
6225222501532112550
711565651612161610
oct1143544704062762
9174745867776283
1042035500312050
1112437179076823
12486a918005756
131a5bc138b692b
14a54759aac6b0
154cd68e655650
hex263b271065f2

42035500312050 has 192 divisors, whose sum is σ = 124538410174464. Its totient is φ = 9174272025600.

The previous prime is 42035500312019. The next prime is 42035500312051. The reversal of 42035500312050 is 5021300553024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42035500311999 and 42035500312017.

It is not an unprimeable number, because it can be changed into a prime (42035500312051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12265482 + ... + 15313818.

It is an arithmetic number, because the mean of its divisors is an integer number (648637552992).

Almost surely, 242035500312050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42035500312050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62269205087232).

42035500312050 is an abundant number, since it is smaller than the sum of its proper divisors (82502909862414).

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

42035500312050 is a wasteful number, since it uses less digits than its factorization.

42035500312050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048953 (or 3048948 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 42035500312050 its reverse (5021300553024), we get a palindrome (47056800865074).

The spelling of 42035500312050 in words is "forty-two trillion, thirty-five billion, five hundred million, three hundred twelve thousand, fifty".