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4217095106 = 2717193167449
BaseRepresentation
bin1111101101011011…
…1100001111000010
3101212220012121221122
43323112330033002
532114034020411
61534242552242
7206334500630
oct37326741702
911786177848
104217095106
111874492a74
12998368682
135228b2b63
142c0106350
1519a3599db
hexfb5bc3c2

4217095106 has 128 divisors (see below), whose sum is σ = 8460288000. Its totient is φ = 1532805120.

The previous prime is 4217095093. The next prime is 4217095109. The reversal of 4217095106 is 6015907124.

It is a super-2 number, since 2×42170951062 = 35567782266098302472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4217095109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9391970 + ... + 9392418.

It is an arithmetic number, because the mean of its divisors is an integer number (66096000).

Almost surely, 24217095106 is an apocalyptic number.

4217095106 is an abundant number, since it is smaller than the sum of its proper divisors (4243192894).

4217095106 is a wasteful number, since it uses less digits than its factorization.

4217095106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 4217095106 is about 64939.1646543132. The cubic root of 4217095106 is about 1615.6147092371.

The spelling of 4217095106 in words is "four billion, two hundred seventeen million, ninety-five thousand, one hundred six".

Divisors: 1 2 7 14 17 19 31 34 38 62 67 119 133 134 217 238 266 323 434 449 469 527 589 646 898 938 1054 1139 1178 1273 2077 2261 2278 2546 3143 3689 4123 4154 4522 6286 7378 7633 7973 8246 8531 8911 10013 13919 14539 15266 15946 17062 17822 20026 21641 27838 29078 30083 35309 39463 43282 53431 59717 60166 70091 70618 78926 97433 106862 119434 140182 145027 151487 194866 210581 236623 247163 264461 276241 290054 302974 421162 473246 494326 511411 528922 552482 571577 670871 932573 1015189 1022822 1143154 1341742 1656361 1851227 1865146 2030378 3312722 3579877 3702454 4001039 4495837 4696097 6528011 7159754 8002078 8991674 9392194 9716809 13056022 15853741 17718887 19433618 31470859 31707482 35437774 62941718 68017663 110976187 124032209 136035326 221952374 248064418 301221079 602442158 2108547553 4217095106