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23573144064 = 29315719769
BaseRepresentation
bin10101111101000100…
…011010001000000000
32020211212000210102210
4111331010122020000
5341234211102224
614455050142120
71463110263351
oct257504321000
966755023383
1023573144064
119aa7475048
12469a721940
1322b8a43b72
1411d8a83d28
1592e7c5429
hex57d11a200

23573144064 has 80 divisors (see below), whose sum is σ = 62846736480. Its totient is φ = 7851909120.

The previous prime is 23573144051. The next prime is 23573144071. The reversal of 23573144064 is 46044137532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2408172 + ... + 2417940.

It is an arithmetic number, because the mean of its divisors is an integer number (785584206).

Almost surely, 223573144064 is an apocalyptic number.

23573144064 is a gapful number since it is divisible by the number (24) 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 23573144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423368240).

23573144064 is an abundant number, since it is smaller than the sum of its proper divisors (39273592416).

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

23573144064 is an equidigital number, since it uses as much as digits as its factorization.

23573144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 23573144064 in words is "twenty-three billion, five hundred seventy-three million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1571 3142 4713 6284 9426 9769 12568 18852 19538 25136 29307 37704 39076 50272 58614 75408 78152 100544 117228 150816 156304 201088 234456 301632 312608 402176 468912 603264 625216 804352 937824 1206528 1250432 1875648 2413056 2500864 3751296 5001728 7502592 15005184 15347099 30694198 46041297 61388396 92082594 122776792 184165188 245553584 368330376 491107168 736660752 982214336 1473321504 1964428672 2946643008 3928857344 5893286016 7857714688 11786572032 23573144064