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217493664090 = 23516746194169
BaseRepresentation
bin1100101010001110100…
…0011111000101011010
3202210101111200220020020
43022203220133011122
512030411334222330
6243525404011310
721466460433063
oct3124350370532
9683344626206
10217493664090
1184269559a2a
123619a230b36
13176816897c1
14a75358756a
1559ce162210
hex32a3a1f15a

217493664090 has 64 divisors (see below), whose sum is σ = 526255107840. Its totient is φ = 57525347840.

The previous prime is 217493664071. The next prime is 217493664151. The reversal of 217493664090 is 90466394712.

It is a happy number.

217493664090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2262526 + ... + 2356694.

It is an arithmetic number, because the mean of its divisors is an integer number (8222736060).

Almost surely, 2217493664090 is an apocalyptic number.

217493664090 is an abundant number, since it is smaller than the sum of its proper divisors (308761443750).

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

217493664090 is a wasteful number, since it uses less digits than its factorization.

217493664090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94807.

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 217493664090 in words is "two hundred seventeen billion, four hundred ninety-three million, six hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 167 334 461 501 835 922 1002 1383 1670 2305 2505 2766 4610 5010 6915 13830 76987 94169 153974 188338 230961 282507 384935 461922 470845 565014 769870 941690 1154805 1412535 2309610 2825070 15726223 31452446 43411909 47178669 78631115 86823818 94357338 130235727 157262230 217059545 235893345 260471454 434119090 471786690 651178635 1302357270 7249788803 14499577606 21749366409 36248944015 43498732818 72497888030 108746832045 217493664090