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23823706752 = 2732201710253
BaseRepresentation
bin10110001100000000…
…001110101010000000
32021111022111200211100
4112030000032222000
5342242332104002
614540000414400
71502242110666
oct261400165200
967438450740
1023823706752
11a11595254a
12474a617400
132328922701
141220068c36
159467bb11c
hex58c00ea80

23823706752 has 96 divisors (see below), whose sum is σ = 68595876180. Its totient is φ = 7936524288.

The previous prime is 23823706663. The next prime is 23823706763. The reversal of 23823706752 is 25760732832.

It can be written as a sum of positive squares in 2 ways, for example, as 23807255616 + 16451136 = 154296^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23823706698 and 23823706707.

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 11 ways as a sum of consecutive naturals, for example, 2318458 + ... + 2328710.

Almost surely, 223823706752 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 23823706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34297938090).

23823706752 is an abundant number, since it is smaller than the sum of its proper divisors (44772169428).

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

23823706752 is a wasteful number, since it uses less digits than its factorization.

23823706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23823706752 in words is "twenty-three billion, eight hundred twenty-three million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2017 4034 6051 8068 10253 12102 16136 18153 20506 24204 30759 32272 36306 41012 48408 61518 64544 72612 82024 92277 96816 123036 129088 145224 164048 184554 193632 246072 258176 290448 328096 369108 387264 492144 580896 656192 738216 774528 984288 1161792 1312384 1476432 1968576 2323584 2952864 3937152 5905728 11811456 20680301 41360602 62040903 82721204 124081806 165442408 186122709 248163612 330884816 372245418 496327224 661769632 744490836 992654448 1323539264 1488981672 1985308896 2647078528 2977963344 3970617792 5955926688 7941235584 11911853376 23823706752