Search a number
-
+
5609950080000 = 21035474783107
BaseRepresentation
bin101000110100010101100…
…0101001110110000000000
3201212022021001210121122220
41101220223011032300000
51213403134210030000
615533101523331040
71116206535616560
oct121505305166000
921768231717586
105609950080000
111873191629472
127672b4b20a80
13319029281076
141557472b6da0
159addad8b1a0
hex51a2b14ec00

5609950080000 has 1760 divisors, whose sum is σ = 22277329772544. Its totient is φ = 1228283904000.

The previous prime is 5609950079957. The next prime is 5609950080017. The reversal of 5609950080000 is 800599065.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52429439947 + ... + 52429440053.

Almost surely, 25609950080000 is an apocalyptic number.

5609950080000 is a gapful number since it is divisible by the number (50) 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 5609950080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138664886272).

5609950080000 is an abundant number, since it is smaller than the sum of its proper divisors (16667379692544).

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

5609950080000 is a wasteful number, since it uses less digits than its factorization.

5609950080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 5609950080000 in words is "five trillion, six hundred nine billion, nine hundred fifty million, eighty thousand".