Search a number
-
+
9894786660000 = 253454112941467
BaseRepresentation
bin1000111111111100111100…
…1111100111011010100000
31022000221011200202210120000
42033333033033213122200
52244104010341110000
633013334030020000
72040606015613644
oct217771717473240
938027150683500
109894786660000
1131753a0127470
121139814047600
1356a0c7542018
14262ca5954c24
151225bd1b0000
hex8ffcf3e76a0

9894786660000 has 2400 divisors, whose sum is σ = 42128364358080. Its totient is φ = 2254694400000.

The previous prime is 9894786659999. The next prime is 9894786660001. The reversal of 9894786660000 is 666874989.

It is an interprime number because it is at equal distance from previous prime (9894786659999) and next prime (9894786660001).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a self number, because there is not a number n which added to its sum of digits gives 9894786660000.

It is not an unprimeable number, because it can be changed into a prime (9894786660001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 21187979767 + ... + 21187980233.

Almost surely, 29894786660000 is an apocalyptic number.

9894786660000 is a gapful number since it is divisible by the number (90) 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 9894786660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064182179040).

9894786660000 is an abundant number, since it is smaller than the sum of its proper divisors (32233577698080).

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

9894786660000 is a wasteful number, since it uses less digits than its factorization.

9894786660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9894786660000 in words is "nine trillion, eight hundred ninety-four billion, seven hundred eighty-six million, six hundred sixty thousand".