Search a number
-
+
191919191919 = 371319371019901
BaseRepresentation
bin1011001010111101000…
…1100111011101101111
3200100101011211002202020
42302233101213131233
511121022303120134
6224055542201223
716602636133530
oct2625721473557
9610334732666
10191919191919
1174435420514
1231241423213
1315137124c30
149408bc0687
154ed3d15b49
hex2caf46776f

191919191919 has 128 divisors (see below), whose sum is σ = 343886161920. Its totient is φ = 92378880000.

The previous prime is 191919191899. The next prime is 191919191953. The reversal of 191919191919 is 919191919191.

It is not a de Polignac number, because 191919191919 - 236 = 123199715183 is a prime.

It is a super-2 number, since 2×1919191919192 (a number of 23 digits) contains 22 as substring.

191919191919 is an undulating number in base 10.

191919191919 is a modest number, since divided by 19191919 gives 1919 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191919193919) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19378869 + ... + 19388769.

It is an arithmetic number, because the mean of its divisors is an integer number (2686610640).

Almost surely, 2191919191919 is an apocalyptic number.

191919191919 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

191919191919 is a deficient number, since it is larger than the sum of its proper divisors (151966970001).

191919191919 is a wasteful number, since it uses less digits than its factorization.

191919191919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081.

The product of its digits is 531441, while the sum is 60.

The spelling of 191919191919 in words is "one hundred ninety-one billion, nine hundred nineteen million, one hundred ninety-one thousand, nine hundred nineteen".

Divisors: 1 3 7 13 19 21 37 39 57 91 101 111 133 247 259 273 303 399 481 703 707 741 777 1313 1443 1729 1919 2109 2121 3367 3737 3939 4921 5187 5757 9139 9191 9901 10101 11211 13433 14763 24947 26159 27417 27573 29703 40299 48581 63973 69307 71003 74841 78477 128713 145743 174629 188119 191919 207921 213009 340067 366337 386139 497021 523887 564357 900991 923039 1000001 1020201 1099011 1316833 1491063 2445547 2564359 2702973 2769117 3000003 3950499 4762381 6461273 6960403 7000007 7336641 7693077 13000013 14287143 17118829 19000019 19383819 20881209 21000021 33336667 37000037 39000039 48722821 51356487 57000057 90485239 91000091 100010001 111000111 133000133 146168463 247000247 259000259 271455717 273000273 399000399 481000481 633396673 703000703 741000741 777000777 1443001443 1729001729 1900190019 2109002109 3367003367 4921004921 5187005187 9139009139 10101010101 14763014763 27417027417 63973063973 191919191919