Search a number
-
+
23214186337536 = 28344612428441
BaseRepresentation
bin1010100011100111110010…
…10101001001010100000000
310001012020212120010002020000
411101303321111021110000
511020320123200300121
6121212241110120000
74614112115063445
oct521637125112400
9101166776102200
1023214186337536
117440098aa4307
12272b094050000
13cc511c22436c
145a38033759cc
152a3cc31dd526
hex151cf9549500

23214186337536 has 180 divisors, whose sum is σ = 69370684753524. Its totient is φ = 7721273548800.

The previous prime is 23214186337523. The next prime is 23214186337541. The reversal of 23214186337536 is 63573368141232.

23214186337536 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 18 + 63 + 37 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4831907385600 + 18382278951936 = 2198160^2 + 4287456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8345076 + ... + 10773516.

Almost surely, 223214186337536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214186337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685342376762).

23214186337536 is an abundant number, since it is smaller than the sum of its proper divisors (46156498415988).

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

23214186337536 is an equidigital number, since it uses as much as digits as its factorization.

23214186337536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428930 (or 2428907 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 23214186337536 in words is "twenty-three trillion, two hundred fourteen billion, one hundred eighty-six million, three hundred thirty-seven thousand, five hundred thirty-six".