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213536117376 = 273361787071
BaseRepresentation
bin1100011011011110111…
…1101001001010000000
3202102011200212200202000
43012313233221022000
511444310221224001
6242032552024000
721266424023031
oct3066757511200
9672150780660
10213536117376
118261863156a
1235474992000
13171a07b049a
14a499b24a88
15584b9c5a86
hex31b7be9280

213536117376 has 64 divisors (see below), whose sum is σ = 630228134400. Its totient is φ = 71178704640.

The previous prime is 213536117317. The next prime is 213536117383. The reversal of 213536117376 is 673711635312.

213536117376 is a `hidden beast` number, since 2 + 1 + 353 + 61 + 173 + 76 = 666.

213536117376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30890080 + ... + 30896991.

It is an arithmetic number, because the mean of its divisors is an integer number (9847314600).

Almost surely, 2213536117376 is an apocalyptic number.

It is an amenable number.

213536117376 is an abundant number, since it is smaller than the sum of its proper divisors (416692017024).

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

213536117376 is an equidigital number, since it uses as much as digits as its factorization.

213536117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61787094 (or 61787076 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 213536117376 in words is "two hundred thirteen billion, five hundred thirty-six million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 61787071 123574142 185361213 247148284 370722426 494296568 556083639 741444852 988593136 1112167278 1482889704 1668250917 1977186272 2224334556 2965779408 3336501834 3954372544 4448669112 5931558816 6673003668 7908745088 8897338224 11863117632 13346007336 17794676448 23726235264 26692014672 35589352896 53384029344 71178705792 106768058688 213536117376