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52488609768 = 2334723414943
BaseRepresentation
bin110000111000100100…
…001001111111101000
312000111000120122110000
4300320210021333220
51324444041003033
640040221023000
73535500551550
oct607044117750
9160430518400
1052488609768
11202954a7441
12a20a3b4a60
134c4651189a
14277d058160
1515730c0a13
hexc38909fe8

52488609768 has 160 divisors (see below), whose sum is σ = 168124872960. Its totient is φ = 14987306880.

The previous prime is 52488609763. The next prime is 52488609799. The reversal of 52488609768 is 86790688425.

52488609768 is a `hidden beast` number, since 5 + 2 + 488 + 6 + 0 + 97 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52488609763) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10616305 + ... + 10621247.

It is an arithmetic number, because the mean of its divisors is an integer number (1050780456).

Almost surely, 252488609768 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 52488609768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84062436480).

52488609768 is an abundant number, since it is smaller than the sum of its proper divisors (115636263192).

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

52488609768 is a wasteful number, since it uses less digits than its factorization.

52488609768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 52488609768 in words is "fifty-two billion, four hundred eighty-eight million, six hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2341 4536 4682 4943 7023 9364 9886 14046 14829 16387 18728 19772 21069 28092 29658 32774 34601 39544 42138 44487 49161 56184 59316 63207 65548 69202 84276 88974 98322 103803 118632 126414 131096 133461 138404 147483 168552 177948 189621 196644 207606 252828 266922 276808 294966 311409 355896 379242 393288 400383 415212 442449 505656 533844 589932 622818 758484 800766 830424 884898 934227 1067688 1179864 1245636 1327347 1516968 1601532 1769796 1868454 2491272 2654694 2802681 3203064 3539592 3736908 5309388 5605362 7473816 10618776 11210724 11571563 22421448 23143126 34714689 46286252 69429378 81000941 92572504 104144067 138858756 162001882 208288134 243002823 277717512 312432201 324003764 416576268 486005646 624864402 648007528 729008469 833152536 937296603 972011292 1249728804 1458016938 1874593206 1944022584 2187025407 2499457608 2916033876 3749186412 4374050814 5832067752 6561076221 7498372824 8748101628 13122152442 17496203256 26244304884 52488609768