Search a number
-
+
23263844836232 = 237111361113421453
BaseRepresentation
bin1010100101000100010010…
…01101010010001110001000
310001101000001100100012010102
411102202021031102032020
511022123323234224412
6121251132432104532
74620520522256540
oct522421115221610
9101330040305112
1023263844836232
11745a160a17380
122738832695148
13cc9a042c52c0
145a5d945ac320
152a522cac78c2
hex152889352388

23263844836232 has 256 divisors, whose sum is σ = 60053351339520. Its totient is φ = 8156613427200.

The previous prime is 23263844836231. The next prime is 23263844836387.

23263844836232 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (23263844836231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 54988418 + ... + 55409870.

It is an arithmetic number, because the mean of its divisors is an integer number (234583403670).

Almost surely, 223263844836232 is an apocalyptic number.

23263844836232 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 23263844836232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30026675669760).

23263844836232 is an abundant number, since it is smaller than the sum of its proper divisors (36789506503288).

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

23263844836232 is a wasteful number, since it uses less digits than its factorization.

23263844836232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421664 (or 421660 counting only the distinct ones).

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

The spelling of 23263844836232 in words is "twenty-three trillion, two hundred sixty-three billion, eight hundred forty-four million, eight hundred thirty-six thousand, two hundred thirty-two".