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52303012128 = 25321912377727
BaseRepresentation
bin110000101101100000…
…001010000100100000
312000000002100022100100
4300231200022010200
51324104032342003
640005551022400
73531055160553
oct605540120440
9160002308310
1052303012128
11201aa761164
12a17820aa00
134c16c2abb3
14276254469a
151561b5dba3
hexc2d80a120

52303012128 has 144 divisors (see below), whose sum is σ = 156711784320. Its totient is φ = 16501252608.

The previous prime is 52303012127. The next prime is 52303012163. The reversal of 52303012128 is 82121030325.

52303012128 is a `hidden beast` number, since 5 + 230 + 301 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52303012121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6765001 + ... + 6772727.

It is an arithmetic number, because the mean of its divisors is an integer number (1088276280).

Almost surely, 252303012128 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 52303012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78355892160).

52303012128 is an abundant number, since it is smaller than the sum of its proper divisors (104408772192).

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

52303012128 is a wasteful number, since it uses less digits than its factorization.

52303012128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 52303012128 in words is "fifty-two billion, three hundred three million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1237 1368 1824 2474 2736 3711 4948 5472 7422 7727 9896 11133 14844 15454 19792 22266 23181 23503 29688 30908 39584 44532 46362 47006 59376 61816 69543 70509 89064 92724 94012 118752 123632 139086 141018 146813 178128 185448 188024 211527 247264 278172 282036 293626 356256 370896 376048 423054 440439 556344 564072 587252 741792 752096 846108 880878 1112688 1128144 1174504 1321317 1692216 1761756 2225376 2256288 2349008 2642634 3384432 3523512 4698016 5285268 6768864 7047024 9558299 10570536 14094048 19116598 21141072 28674897 38233196 42282144 57349794 76466392 86024691 114699588 152932784 172049382 181607681 229399176 305865568 344098764 363215362 458798352 544823043 688197528 726430724 917596704 1089646086 1376395056 1452861448 1634469129 2179292172 2752790112 2905722896 3268938258 4358584344 5811445792 6537876516 8717168688 13075753032 17434337376 26151506064 52303012128