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23325383952 = 243213532331009
BaseRepresentation
bin10101101110010011…
…010001110100010000
32020012120211021110100
4111232103101310100
5340232244241302
614414315532400
71454011330563
oct255623216420
966176737410
1023325383952
11998a631222
12462b75a100
132279606b50
1411b3bcc4da
15917b84d1c
hex56e4d1d10

23325383952 has 240 divisors, whose sum is σ = 72005235120. Its totient is φ = 7004454912.

The previous prime is 23325383947. The next prime is 23325384031. The reversal of 23325383952 is 25938352332.

23325383952 is a `hidden beast` number, since 2 + 3 + 3 + 253 + 8 + 395 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2579014656 + 20746369296 = 50784^2 + 144036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23325383898 and 23325383907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23116824 + ... + 23117832.

It is an arithmetic number, because the mean of its divisors is an integer number (300021813).

Almost surely, 223325383952 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 23325383952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36002617560).

23325383952 is an abundant number, since it is smaller than the sum of its proper divisors (48679851168).

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

23325383952 is a wasteful number, since it uses less digits than its factorization.

23325383952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1313 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 23325383952 in words is "twenty-three billion, three hundred twenty-five million, three hundred eighty-three thousand, nine hundred fifty-two".