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213252064416664 = 23713476232524679
BaseRepresentation
bin110000011111001110011101…
…100011000001001110011000
31000222001200212000210200020121
4300133032131203001032120
5210422410211442313124
62033314351305203024
762626644645301360
oct6037163543011630
91028050760720217
10213252064416664
1161a48768991069
121bb01818a90474
1391cb7779158b0
143a936526c39a0
15199c2978c92e4
hexc1f39d8c1398

213252064416664 has 64 divisors (see below), whose sum is σ = 502590790195200. Its totient is φ = 82568486934144.

The previous prime is 213252064416583. The next prime is 213252064416673. The reversal of 213252064416664 is 466614460252312.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3116228124 + ... + 3116296555.

It is an arithmetic number, because the mean of its divisors is an integer number (7852981096800).

Almost surely, 2213252064416664 is an apocalyptic number.

It is an amenable number.

213252064416664 is an abundant number, since it is smaller than the sum of its proper divisors (289338725778536).

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

213252064416664 is a wasteful number, since it uses less digits than its factorization.

213252064416664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232524752 (or 6232524748 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 213252064416664 in words is "two hundred thirteen trillion, two hundred fifty-two billion, sixty-four million, four hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 182 188 329 364 376 611 658 728 1222 1316 2444 2632 4277 4888 8554 17108 34216 6232524679 12465049358 24930098716 43627672753 49860197432 81022820827 87255345506 162045641654 174510691012 292928659913 324091283308 349021382024 567159745789 585857319826 648182566616 1134319491578 1171714639652 2050500619391 2268638983156 2343429279304 3808072578869 4101001238782 4537277966312 7616145157738 8202002477564 15232290315476 16404004955128 26656508052083 30464580630952 53313016104166 106626032208332 213252064416664