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28225688805504 = 273224501465977
BaseRepresentation
bin1100110101011110011100…
…01001111010000010000000
310200221100102210011010100100
412122233032021322002000
512144422202313234004
6140010411420322400
75642144611154631
oct632571611720200
9120840383133310
1028225688805504
118aa24a1541243
1231ba3b20a3400
131299895350498
146d81b8627888
1533e335653739
hex19abce27a080

28225688805504 has 48 divisors (see below), whose sum is σ = 81222359717070. Its totient is φ = 9408562934784.

The previous prime is 28225688805487. The next prime is 28225688805527. The reversal of 28225688805504 is 40550888652282.

28225688805504 is a `hidden beast` number, since 2 + 8 + 22 + 56 + 8 + 8 + 8 + 0 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17172404481600 + 11053284323904 = 4143960^2 + 3324648^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12250731837 + ... + 12250734140.

Almost surely, 228225688805504 is an apocalyptic number.

28225688805504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28225688805504 is an abundant number, since it is smaller than the sum of its proper divisors (52996670911566).

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

28225688805504 is a wasteful number, since it uses less digits than its factorization.

28225688805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24501465997 (or 24501465982 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 63.

The spelling of 28225688805504 in words is "twenty-eight trillion, two hundred twenty-five billion, six hundred eighty-eight million, eight hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 24501465977 49002931954 73504397931 98005863908 147008795862 196011727816 220513193793 294017591724 392023455632 441026387586 588035183448 784046911264 882052775172 1176070366896 1568093822528 1764105550344 2352140733792 3136187645056 3528211100688 4704281467584 7056422201376 9408562935168 14112844402752 28225688805504