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50610505050 = 23452721811409
BaseRepresentation
bin101111001000100111…
…110000010101011010
311211122010121001010000
4233020213300111122
51312122242130200
635130010433430
73441114123600
oct571047602532
9154563531100
1050610505050
111a511346586
129985432876
134a073a6011
14264184d870
1514b328a300
hexbc89f055a

50610505050 has 360 divisors, whose sum is σ = 164601457020. Its totient is φ = 11496038400.

The previous prime is 50610505037. The next prime is 50610505051. The reversal of 50610505050 is 5050501605.

50610505050 is a `hidden beast` number, since 50 + 6 + 105 + 0 + 505 + 0 = 666.

50610505050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 54331641 + 50556173409 = 7371^2 + 224847^2 .

It is a super-2 number, since 2×506105050502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (50610505051) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 35918746 + ... + 35920154.

Almost surely, 250610505050 is an apocalyptic number.

50610505050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 50610505050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82300728510).

50610505050 is an abundant number, since it is smaller than the sum of its proper divisors (113990951970).

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

50610505050 is a wasteful number, since it uses less digits than its factorization.

50610505050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 50610505050 in words is "fifty billion, six hundred ten million, five hundred five thousand, fifty".