Search a number
-
+
23236844863232 = 28711313839029
BaseRepresentation
bin1010100100010001111111…
…11000100011111100000000
310001021102100200010110010102
411102020333320203330000
511021203024241110412
6121230505325021532
74615543451265230
oct522107770437400
9101242320113112
1023236844863232
117449766162000
1227335583b48a8
13cc72c0623b10
145a4952775cc0
152a469c54a8c2
hex15223fe23f00

23236844863232 has 576 divisors, whose sum is σ = 63554606760960. Its totient is φ = 8255307202560.

The previous prime is 23236844863159. The next prime is 23236844863249.

23236844863232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232368448632322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2573574494 + ... + 2573583522.

It is an arithmetic number, because the mean of its divisors is an integer number (110337858960).

Almost surely, 223236844863232 is an apocalyptic number.

23236844863232 is a gapful number since it is divisible by the number (22) 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 23236844863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31777303380480).

23236844863232 is an abundant number, since it is smaller than the sum of its proper divisors (40317761897728).

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

23236844863232 is an equidigital number, since it uses as much as digits as its factorization.

23236844863232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9145 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 56.

The spelling of 23236844863232 in words is "twenty-three trillion, two hundred thirty-six billion, eight hundred forty-four million, eight hundred sixty-three thousand, two hundred thirty-two".