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25452312320 = 28543479839
BaseRepresentation
bin10111101101000100…
…110111011100000000
32102200211000102200002
4113231010313130000
5404111242443240
615405335215132
71560506041121
oct275504673400
972624012602
1025452312320
11a881191a66
124b23b174a8
132528162846
141336488048
159de76ad15
hex5ed137700

25452312320 has 144 divisors (see below), whose sum is σ = 63717857280. Its totient is φ = 9731592192.

The previous prime is 25452312317. The next prime is 25452312343. The reversal of 25452312320 is 2321325452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581961 + ... + 2591799.

It is an arithmetic number, because the mean of its divisors is an integer number (442485120).

Almost surely, 225452312320 is an apocalyptic number.

25452312320 is a gapful number since it is divisible by the number (20) 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 25452312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31858928640).

25452312320 is an abundant number, since it is smaller than the sum of its proper divisors (38265544960).

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

25452312320 is an equidigital number, since it uses as much as digits as its factorization.

25452312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 25452312320 its reverse (2321325452), we get a palindrome (27773637772).

The spelling of 25452312320 in words is "twenty-five billion, four hundred fifty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 47 64 80 86 94 128 160 172 188 215 235 256 320 344 376 430 470 640 688 752 860 940 1280 1376 1504 1720 1880 2021 2752 3008 3440 3760 4042 5504 6016 6880 7520 8084 9839 10105 11008 12032 13760 15040 16168 19678 20210 27520 30080 32336 39356 40420 49195 55040 60160 64672 78712 80840 98390 129344 157424 161680 196780 258688 314848 323360 393560 423077 462433 517376 629696 646720 787120 846154 924866 1259392 1293440 1574240 1692308 1849732 2115385 2312165 2518784 2586880 3148480 3384616 3699464 4230770 4624330 6296960 6769232 7398928 8461540 9248660 12593920 13538464 14797856 16923080 18497320 19884619 27076928 29595712 33846160 36994640 39769238 54153856 59191424 67692320 73989280 79538476 99423095 108307712 118382848 135384640 147978560 159076952 198846190 270769280 295957120 318153904 397692380 541538560 591914240 636307808 795384760 1272615616 1590769520 2545231232 3181539040 5090462464 6363078080 12726156160 25452312320