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213506063205504 = 2731690493289019
BaseRepresentation
bin110000100010111011000001…
…000011100000010010000000
31000222221222110122100001102020
4300202323001003200102000
5210441040404140034004
62034031155324521440
762654206165341546
oct6042730103402200
91028858418301366
10213506063205504
116203645a651583
121bb42aa46b0280
1392196c6290b14
143aa1a6a211d96
1519a3bb17c98d9
hexc22ec10e0480

213506063205504 has 64 divisors (see below), whose sum is σ = 567129007620000. Its totient is φ = 71168245102592.

The previous prime is 213506063205481. The next prime is 213506063205599. The reversal of 213506063205504 is 405502360605312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63270307 + ... + 66559325.

Almost surely, 2213506063205504 is an apocalyptic number.

213506063205504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213506063205504 is an abundant number, since it is smaller than the sum of its proper divisors (353622944414496).

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

213506063205504 is a wasteful number, since it uses less digits than its factorization.

213506063205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458085 (or 3458073 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 213506063205504 in words is "two hundred thirteen trillion, five hundred six billion, sixty-three million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 169049 338098 507147 676196 1014294 1352392 2028588 2704784 3289019 4057176 5409568 6578038 8114352 9867057 10819136 13156076 16228704 19734114 21638272 26312152 32457408 39468228 52624304 64914816 78936456 105248608 157872912 210497216 315745824 420994432 631491648 1262983296 556005372931 1112010745862 1668016118793 2224021491724 3336032237586 4448042983448 6672064475172 8896085966896 13344128950344 17792171933792 26688257900688 35584343867584 53376515801376 71168687735168 106753031602752 213506063205504