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23445244254432 = 25371113101223917
BaseRepresentation
bin1010101010010110001010…
…11101001001100011100000
310002000100021101100102020210
411111023011131021203200
511033111330012120212
6121510332503134120
74636602003010230
oct525130535114340
9102010241312223
1023445244254432
11751a088190120
122767a18a44340
131010b52b43550
145b0a821a7cc0
152a9ce80ad53c
hex1552c57498e0

23445244254432 has 576 divisors, whose sum is σ = 83461919933952. Its totient is φ = 5565348864000.

The previous prime is 23445244254413. The next prime is 23445244254493.

23445244254432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 980263338 + ... + 980287254.

It is an arithmetic number, because the mean of its divisors is an integer number (144899166552).

Almost surely, 223445244254432 is an apocalyptic number.

23445244254432 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 23445244254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41730959966976).

23445244254432 is an abundant number, since it is smaller than the sum of its proper divisors (60016675679520).

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

23445244254432 is a wasteful number, since it uses less digits than its factorization.

23445244254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24163 (or 24054 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 2344524 and 4254432, that added together give a palindrome (6598956).

The spelling of 23445244254432 in words is "twenty-three trillion, four hundred forty-five billion, two hundred forty-four million, two hundred fifty-four thousand, four hundred thirty-two".