Search a number
-
+
23235144455520 = 2533543132194687
BaseRepresentation
bin1010100100001110110101…
…00010000001010101100000
310001021020222011111210021000
411102013122202001111200
511021141033440034040
6121230024503232000
74615453353124314
oct522073242012540
9101236864453230
1023235144455520
117448a73340578
122733162a48600
13cc70ac263aca
145a48309c5b44
152a45ed116130
hex1521da881560

23235144455520 has 384 divisors, whose sum is σ = 83278111150080. Its totient is φ = 6047299399680.

The previous prime is 23235144455507. The next prime is 23235144455557. The reversal of 23235144455520 is 2555444153232.

23235144455520 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 5 + 144 + 455 + 52 + 0 = 666.

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 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, 245341617 + ... + 245436303.

It is an arithmetic number, because the mean of its divisors is an integer number (216870081120).

Almost surely, 223235144455520 is an apocalyptic number.

23235144455520 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 23235144455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41639055575040).

23235144455520 is an abundant number, since it is smaller than the sum of its proper divisors (60042966694560).

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

23235144455520 is a wasteful number, since it uses less digits than its factorization.

23235144455520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96075 (or 96061 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 23235144455520 in words is "twenty-three trillion, two hundred thirty-five billion, one hundred forty-four million, four hundred fifty-five thousand, five hundred twenty".