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553200522368 = 271343892
BaseRepresentation
bin10000000110011010101…
…00100001010010000000
31221212220111101021011212
420003031110201102000
533030423313203433
61102045315025252
754652552566164
oct10031524412200
91855814337155
10553200522368
111a367a30035a
128b26989b228
1340221cb0000
141cabca36ca4
15e5cb47ad48
hex80cd521480

553200522368 has 120 divisors (see below), whose sum is σ = 1196992963005. Its totient is φ = 254666959872.

The previous prime is 553200522367. The next prime is 553200522389. The reversal of 553200522368 is 863225002355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 420640450624 + 132560071744 = 648568^2 + 364088^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=525928.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553200522367) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1422109118 + ... + 1422109506.

Almost surely, 2553200522368 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 553200522368

553200522368 is an abundant number, since it is smaller than the sum of its proper divisors (643792440637).

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

553200522368 is an frugal number, since it uses more digits than its factorization.

553200522368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 553200522368 in words is "five hundred fifty-three billion, two hundred million, five hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 389 416 676 778 832 1352 1556 1664 2197 2704 3112 4394 5057 5408 6224 8788 10114 10816 12448 17576 20228 21632 24896 28561 35152 40456 49792 57122 65741 70304 80912 114244 131482 140608 151321 161824 228488 262964 281216 302642 323648 456976 525928 605284 647296 854633 913952 1051856 1210568 1709266 1827904 1967173 2103712 2421136 3418532 3655808 3934346 4207424 4842272 6837064 7868692 8414848 9684544 11110229 13674128 15737384 19369088 22220458 25573249 27348256 31474768 44440916 51146498 54696512 62949536 88881832 102292996 109393024 125899072 177763664 204585992 251798144 332452237 355527328 409171984 664904474 711054656 818343968 1329808948 1422109312 1636687936 2659617896 3273375872 4321879081 5319235792 8643758162 10638471584 17287516324 21276943168 34575032648 42553886336 69150065296 138300130592 276600261184 553200522368