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2323963136 = 28111018171
BaseRepresentation
bin1000101010000100…
…1101110100000000
312222221221120002202
42022201031310000
514224413310021
61022334332332
7111406234505
oct21241156400
95887846082
102323963136
11a928a89a0
1254a35a0a8
132b0615421
141809094ac
15d9056a0b
hex8a84dd00

2323963136 has 72 divisors (see below), whose sum is σ = 5111291808. Its totient is φ = 1045760000.

The previous prime is 2323963129. The next prime is 2323963153. The reversal of 2323963136 is 6313693232.

It is a self number, because there is not a number n which added to its sum of digits gives 2323963136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280331 + ... + 288501.

It is an arithmetic number, because the mean of its divisors is an integer number (70990164).

Almost surely, 22323963136 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 2323963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555645904).

2323963136 is an abundant number, since it is smaller than the sum of its proper divisors (2787328672).

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

2323963136 is a wasteful number, since it uses less digits than its factorization.

2323963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8285 counting only the distinct ones).

The product of its digits is 104976, while the sum is 38.

The square root of 2323963136 is about 48207.5008271534. The cubic root of 2323963136 is about 1324.5745658716.

It can be divided in two parts, 232396 and 3136, that added together give a palindrome (235532).

The spelling of 2323963136 in words is "two billion, three hundred twenty-three million, nine hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 808 1111 1408 1616 2222 2816 3232 4444 6464 8171 8888 12928 16342 17776 25856 32684 35552 65368 71104 89881 130736 142208 179762 261472 284416 359524 522944 719048 825271 1045888 1438096 1650542 2091776 2876192 3301084 5752384 6602168 9077981 11504768 13204336 18155962 23009536 26408672 36311924 52817344 72623848 105634688 145247696 211269376 290495392 580990784 1161981568 2323963136