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23543739648 = 28321113193761
BaseRepresentation
bin10101111011010100…
…001111010100000000
32020202210200220011100
4111323110033110000
5341204144132043
614452120014400
71462302325242
oct257324172400
966683626140
1023543739648
119a91911080
124690901400
1322b2919cc0
1411d4bcc092
1592be17cd3
hex57b50f500

23543739648 has 432 divisors, whose sum is σ = 83969645760. Its totient is φ = 6237388800.

The previous prime is 23543739643. The next prime is 23543739649. The reversal of 23543739648 is 84693734532.

23543739648 is a `hidden beast` number, since 2 + 3 + 543 + 7 + 3 + 96 + 4 + 8 = 666.

It is a super-2 number, since 2×235437396482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23543739594 and 23543739603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23543739643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6258088 + ... + 6261848.

It is an arithmetic number, because the mean of its divisors is an integer number (194374180).

Almost surely, 223543739648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23543739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41984822880).

23543739648 is an abundant number, since it is smaller than the sum of its proper divisors (60425906112).

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

23543739648 is a wasteful number, since it uses less digits than its factorization.

23543739648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3809 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 23543739648 in words is "twenty-three billion, five hundred forty-three million, seven hundred thirty-nine thousand, six hundred forty-eight".