Search a number
-
+
7066109084160 = 29357312892081
BaseRepresentation
bin110011011010011010011…
…1011000000001000000000
3221000111212021212102010210
41212310310323000020000
51411232342411143120
623010043052354120
71326336525132000
oct146646473001000
927014767772123
107066109084160
1122847a1401795
12961561775940
133c343c925ac9
141a60041b2000
15c3c14435ce0
hex66d34ec0200

7066109084160 has 640 divisors, whose sum is σ = 26376508224000. Its totient is φ = 1613082132480.

The previous prime is 7066109084159. The next prime is 7066109084161. The reversal of 7066109084160 is 614809016607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7066109084159) and next prime (7066109084161).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7066109084161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3395534320 + ... + 3395536400.

It is an arithmetic number, because the mean of its divisors is an integer number (41213294100).

Almost surely, 27066109084160 is an apocalyptic number.

7066109084160 is a gapful number since it is divisible by the number (70) 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 7066109084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188254112000).

7066109084160 is an abundant number, since it is smaller than the sum of its proper divisors (19310399139840).

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

7066109084160 is a wasteful number, since it uses less digits than its factorization.

7066109084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 7066109084160 in words is "seven trillion, sixty-six billion, one hundred nine million, eighty-four thousand, one hundred sixty".