Search a number
-
+
26341427112099 = 31129311739915179
BaseRepresentation
bin1011111110101000101110…
…11001111110100010100011
310110021012211100100102120020
411333110113121332202203
511423034220320041344
6132005030133044523
75356051056062061
oct577242731764243
9113235740312506
1026341427112099
118436377981210
122b5518a786743
131190ca80a6ac8
14670d090c9031
1530a303412719
hex17f51767e8a3

26341427112099 has 128 divisors (see below), whose sum is σ = 41200562995200. Its totient is φ = 14812725312000.

The previous prime is 26341427112043. The next prime is 26341427112139. The reversal of 26341427112099 is 99021172414362.

It is a Cunningham number, because it is equal to 51323902-1.

It is not a de Polignac number, because 26341427112099 - 220 = 26341426063523 is a prime.

It is a super-2 number, since 2×263414271120992 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26341427112199) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5086196892 + ... + 5086202070.

It is an arithmetic number, because the mean of its divisors is an integer number (321879398400).

Almost surely, 226341427112099 is an apocalyptic number.

26341427112099 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

26341427112099 is a deficient number, since it is larger than the sum of its proper divisors (14859135883101).

26341427112099 is a wasteful number, since it uses less digits than its factorization.

26341427112099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 26341427112099 in words is "twenty-six trillion, three hundred forty-one billion, four hundred twenty-seven million, one hundred twelve thousand, ninety-nine".

Divisors: 1 3 11 29 31 33 87 93 173 319 341 519 899 957 991 1023 1903 2697 2973 5017 5179 5363 5709 9889 10901 15051 15537 16089 28739 29667 30721 32703 55187 56969 58993 86217 92163 150191 155527 160549 165561 170907 171443 176979 316129 337931 450573 466581 481647 514329 890909 895967 948387 1013793 1652101 1710797 1766039 1885873 2672727 2687901 4655921 4956303 4971847 5132389 5132391 5298117 5314733 5657619 9799999 9855637 13967763 14915541 15397167 15944199 25983043 27774977 29399997 29566911 51215131 54690317 56456279 58462063 77949129 83324931 148839281 153645393 154127257 159104059 164070951 169368837 175386189 285813473 305524747 446517843 462381771 477312177 805474333 857440419 887903297 916574241 1637232091 1695399827 1750144649 2416422999 2663709891 4614017711 4911696273 5086199481 5250433947 8860217663 9766936267 13842053133 25749195613 26580652989 27525002207 29300808801 50754194821 77247586839 82575006621 152262584463 283241151743 302775024277 798225064003 849723455229 908325072831 2394675192009 8780475704033 26341427112099