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23420544502432 = 25721123101659887
BaseRepresentation
bin1010101001101000001010…
…01111000100101010100000
310001220222112000102000021011
411110310011033010222200
511032210233343034212
6121451125525510304
74635035632410400
oct524640517045240
9101828460360234
1023420544502432
11750a662887940
122763084b72394
13100b71789398c
145ad7bba5a800
152a934e9484a7
hex154d053c4aa0

23420544502432 has 576 divisors, whose sum is σ = 61825119713280. Its totient is φ = 8618894592000.

The previous prime is 23420544502417. The next prime is 23420544502451.

23420544502432 is nontrivially palindromic in base 10.

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, 26404221093 + ... + 26404221979.

It is an arithmetic number, because the mean of its divisors is an integer number (107335277280).

Almost surely, 223420544502432 is an apocalyptic number.

23420544502432 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 23420544502432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912559856640).

23420544502432 is an abundant number, since it is smaller than the sum of its proper divisors (38404575210848).

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

23420544502432 is a wasteful number, since it uses less digits than its factorization.

23420544502432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 2342054 and 4502432, that added together give a palindrome (6844486).

The spelling of 23420544502432 in words is "twenty-three trillion, four hundred twenty billion, five hundred forty-four million, five hundred two thousand, four hundred thirty-two".