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219065258968 = 231719145158427
BaseRepresentation
bin1100110000000101001…
…1101001001111011000
3202221110000221012002221
43030001103221033120
512042121201241333
6244345344433424
721553432656253
oct3140123511730
9687400835087
10219065258968
11849a569a476
1236558618874
13178721584ba
14a8621a609a
155a720eed2d
hex33014e93d8

219065258968 has 64 divisors (see below), whose sum is σ = 458122262400. Its totient is φ = 97594790400.

The previous prime is 219065258959. The next prime is 219065259011. The reversal of 219065258968 is 869852560912.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3720171 + ... + 3778597.

It is an arithmetic number, because the mean of its divisors is an integer number (7158160350).

Almost surely, 2219065258968 is an apocalyptic number.

It is an amenable number.

219065258968 is an abundant number, since it is smaller than the sum of its proper divisors (239057003432).

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

219065258968 is a wasteful number, since it uses less digits than its factorization.

219065258968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59920 (or 59916 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 219065258968 in words is "two hundred nineteen billion, sixty-five million, two hundred fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 1451 2584 2902 5804 11608 24667 27569 49334 55138 58427 98668 110276 116854 197336 220552 233708 467416 468673 937346 993259 1110113 1874692 1986518 2220226 3749384 3973036 4440452 7946072 8880904 18871921 37743842 75487684 84777577 150975368 169555154 339110308 678220616 1441218809 1610773963 2882437618 3221547926 5764875236 6443095852 11529750472 12886191704 27383157371 54766314742 109532629484 219065258968