Search a number
-
+
214755648085 = 511371271515503
BaseRepresentation
bin1100100000000001101…
…1110010001001010101
3202112022200122021101001
43020000123302021111
512004304421214320
6242353554503301
721341562614116
oct3100033621125
9675280567331
10214755648085
1183093a67a90
1235755294b31
13173363525a4
14a573a9a20d
1558bdabd20a
hex32006f2255

214755648085 has 64 divisors (see below), whose sum is σ = 292986814464. Its totient is φ = 149742432000.

The previous prime is 214755648067. The next prime is 214755648097. The reversal of 214755648085 is 580846557412.

It is not a de Polignac number, because 214755648085 - 221 = 214753550933 is a prime.

It is a super-2 number, since 2×2147556480852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39022444 + ... + 39027946.

It is an arithmetic number, because the mean of its divisors is an integer number (4577918976).

Almost surely, 2214755648085 is an apocalyptic number.

It is an amenable number.

214755648085 is a deficient number, since it is larger than the sum of its proper divisors (78231166379).

214755648085 is a wasteful number, since it uses less digits than its factorization.

214755648085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834.

The product of its (nonzero) digits is 10752000, while the sum is 55.

The spelling of 214755648085 in words is "two hundred fourteen billion, seven hundred fifty-five million, six hundred forty-eight thousand, eighty-five".

Divisors: 1 5 11 37 55 127 151 185 407 635 755 1397 1661 2035 4699 5503 5587 6985 8305 19177 23495 27515 27935 51689 60533 61457 95885 203611 210947 258445 302665 307285 698881 709549 830953 1018055 1054735 2239721 3494405 3547745 4154765 7687691 7805039 9140483 11198605 25858597 30745261 38438455 39025195 45702415 105531031 129292985 153726305 284444567 338197871 527655155 1160841341 1422222835 1690989355 3904648147 5804206705 19523240735 42951129617 214755648085