Search a number
-
+
69809040000 = 273854719
BaseRepresentation
bin100000100000011110…
…0010110101010000000
320200012010000200000000
41001000330112222000
52120432103240000
652023030000000
75020635022650
oct1010074265200
9220163020000
1069809040000
1127673423a97
1211642aa6000
136776a06c7b
143543508360
151c38990000
hex1040f16a80

69809040000 has 1440 divisors, whose sum is σ = 313581496800. Its totient is φ = 15116544000.

The previous prime is 69809039977. The next prime is 69809040001. The reversal of 69809040000 is 4090896.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (69809040001) 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, 3674159991 + ... + 3674160009.

Almost surely, 269809040000 is an apocalyptic number.

69809040000 is a gapful number since it is divisible by the number (60) 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 69809040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156790748400).

69809040000 is an abundant number, since it is smaller than the sum of its proper divisors (243772456800).

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

69809040000 is an frugal number, since it uses more digits than its factorization.

69809040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 69809040000 in words is "sixty-nine billion, eight hundred nine million, forty thousand".