Search a number
-
+
23332984664340 = 223513471634099547
BaseRepresentation
bin1010100111000101000100…
…10000110011000100010100
310001121121111211010100222210
411103202202100303010110
511024241423033224330
6121343005234353420
74625516053151451
oct523424220630424
9101547454110883
1023332984664340
11748651060a58a
12274a10942b870
1310033a247c7b0
145a9472c74828
152a6e279278b0
hex1538a2433114

23332984664340 has 384 divisors, whose sum is σ = 72480080977920. Its totient is φ = 5572571738112.

The previous prime is 23332984664329. The next prime is 23332984664377. The reversal of 23332984664340 is 4346648923332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2444007447 + ... + 2444016993.

It is an arithmetic number, because the mean of its divisors is an integer number (188750210880).

Almost surely, 223332984664340 is an apocalyptic number.

23332984664340 is a gapful number since it is divisible by the number (20) 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 23332984664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240040488960).

23332984664340 is an abundant number, since it is smaller than the sum of its proper divisors (49147096313580).

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

23332984664340 is a wasteful number, since it uses less digits than its factorization.

23332984664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 57.

The spelling of 23332984664340 in words is "twenty-three trillion, three hundred thirty-two billion, nine hundred eighty-four million, six hundred sixty-four thousand, three hundred forty".