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252785469568 = 27171073892791
BaseRepresentation
bin1110101101101100110…
…0000010100010000000
3220011111001110101000211
43223123030002202000
513120201040011233
6312043353523504
724156155016202
oct3533314024200
9804431411024
10252785469568
1198229897815
1240ba9413594
131aab719c438
14c340732772
1568976335cd
hex3adb302880

252785469568 has 128 divisors (see below), whose sum is σ = 539779593600. Its totient is φ = 117501050880.

The previous prime is 252785469457. The next prime is 252785469569. The reversal of 252785469568 is 865964587252.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (252785469569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90570253 + ... + 90573043.

It is an arithmetic number, because the mean of its divisors is an integer number (4217028075).

Almost surely, 2252785469568 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 252785469568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269889796800).

252785469568 is an abundant number, since it is smaller than the sum of its proper divisors (286994124032).

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

252785469568 is a wasteful number, since it uses less digits than its factorization.

252785469568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3306 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 67.

The spelling of 252785469568 in words is "two hundred fifty-two billion, seven hundred eighty-five million, four hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 272 389 428 544 778 856 1088 1556 1712 1819 2176 2791 3112 3424 3638 5582 6224 6613 6848 7276 11164 12448 13226 13696 14552 22328 24896 26452 29104 41623 44656 47447 49792 52904 58208 83246 89312 94894 105808 116416 166492 178624 189788 211616 232832 298637 332984 357248 379576 423232 597274 665968 707591 759152 846464 1085699 1194548 1331936 1415182 1518304 2171398 2389096 2663872 2830364 3036608 4342796 4778192 5076829 5327744 5660728 6073216 8685592 9556384 10153658 11321456 17371184 18456883 19112768 20307316 22642912 34742368 36913766 38225536 40614632 45285824 69484736 73827532 81229264 90571648 116169793 138969472 147655064 162458528 232339586 295310128 324917056 464679172 590620256 649834112 929358344 1181240512 1858716688 1974886481 2362481024 3717433376 3949772962 7434866752 7899545924 14869733504 15799091848 31598183696 63196367392 126392734784 252785469568