Search a number
-
+
23364525323520 = 28345176722953
BaseRepresentation
bin1010100111111111110100…
…01110110111010100000000
310001201121220221102212110000
411103333322032313110000
511030301021440323040
6121405303104240000
74631013501300153
oct523777216672400
9101647827385400
1023364525323520
117498926484667
122754250310000
13100635aaa1734
145aabc5b67c9a
152a7b7192d130
hex153ffa3b7500

23364525323520 has 1080 divisors, whose sum is σ = 89891690016744. Its totient is φ = 5774558625792.

The previous prime is 23364525323497. The next prime is 23364525323533. The reversal of 23364525323520 is 2532352546332.

23364525323520 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 4 + 52 + 53 + 23 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8321794101504 + 15042731222016 = 2884752^2 + 3878496^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7912130364 + ... + 7912133316.

Almost surely, 223364525323520 is an apocalyptic number.

23364525323520 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 23364525323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44945845008372).

23364525323520 is an abundant number, since it is smaller than the sum of its proper divisors (66527164693224).

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

23364525323520 is an equidigital number, since it uses as much as digits as its factorization.

23364525323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

Adding to 23364525323520 its reverse (2532352546332), we get a palindrome (25896877869852).

The spelling of 23364525323520 in words is "twenty-three trillion, three hundred sixty-four billion, five hundred twenty-five million, three hundred twenty-three thousand, five hundred twenty".