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536962990208 = 2723922712
BaseRepresentation
bin1111101000001010111…
…11010000000010000000
31220022222212121011111212
413310011133100002000
532244200011141313
61050402152225252
753536305052241
oct7640537200200
91808885534455
10536962990208
111977a7678097
128809799b228
133b834c5b308
141bdbc312cc8
15de7abb53a8
hex7d057d0080

536962990208 has 72 divisors (see below), whose sum is σ = 1078204105215. Its totient is φ = 266371580160.

The previous prime is 536962990159. The next prime is 536962990253. The reversal of 536962990208 is 802099269635.

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 only one way, i.e., 268481495104 + 268481495104 = 518152^2 + 518152^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=518152.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1981413113 + ... + 1981413383.

Almost surely, 2536962990208 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 536962990208

536962990208 is an abundant number, since it is smaller than the sum of its proper divisors (541241115007).

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

536962990208 is an frugal number, since it uses more digits than its factorization.

536962990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 536962990208 in words is "five hundred thirty-six billion, nine hundred sixty-two million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 239 271 478 542 956 1084 1912 2168 3824 4336 7648 8672 15296 17344 30592 34688 57121 64769 73441 114242 129538 146882 228484 259076 293764 456968 518152 587528 913936 1036304 1175056 1827872 2072608 2350112 3655744 4145216 4700224 7311488 8290432 9400448 15479791 17552399 30959582 35104798 61919164 70209596 123838328 140419192 247676656 280838384 495353312 561676768 990706624 1123353536 1981413248 2246707072 4195023361 8390046722 16780093444 33560186888 67120373776 134240747552 268481495104 536962990208