Search a number
-
+
155596085601855 = 35531034579534363
BaseRepresentation
bin100011011000001110001001…
…011010010010011000111111
3202101220211200201210221112220
4203120032021122102120333
5130343241240403224410
61310531504355500423
744526306023424213
oct4330161132223077
9671824621727486
10155596085601855
1145639a24a39028
121554b6922b7713
1368a885660b052
142a5cc68216943
1512ec628007070
hex8d838969263f

155596085601855 has 128 divisors (see below), whose sum is σ = 257002255890432. Its totient is φ = 80349088555008.

The previous prime is 155596085601829. The next prime is 155596085601899. The reversal of 155596085601855 is 558106580695551.

It is a Cunningham number, because it is equal to 124738162-1.

It is not a de Polignac number, because 155596085601855 - 211 = 155596085599807 is a prime.

It is a super-3 number, since 3×1555960856018553 (a number of 44 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 155596085601855.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35662634904 + ... + 35662639266.

It is an arithmetic number, because the mean of its divisors is an integer number (2007830124144).

Almost surely, 2155596085601855 is an apocalyptic number.

155596085601855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

155596085601855 is a deficient number, since it is larger than the sum of its proper divisors (101406170288577).

155596085601855 is a wasteful number, since it uses less digits than its factorization.

155596085601855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937.

The product of its (nonzero) digits is 324000000, while the sum is 69.

The spelling of 155596085601855 in words is "one hundred fifty-five trillion, five hundred ninety-six billion, eighty-five million, six hundred one thousand, eight hundred fifty-five".

Divisors: 1 3 5 15 53 103 159 265 309 457 515 795 953 1371 1545 2285 2859 4363 4765 5459 6855 13089 14295 16377 21815 24221 27295 47071 50509 65445 72663 81885 98159 121105 141213 151527 231239 235355 252545 294477 363315 435521 449389 490795 693717 706065 757635 1156195 1306563 1348167 1472385 1993891 2177605 2246945 2494763 3468585 4157939 5202427 5981673 6532815 6740835 7484289 9969455 12473815 12473817 15607281 20789695 23082613 23817617 26012135 29908365 37421445 44858663 62369085 69247839 71452851 78036405 105676223 115413065 119088085 134575989 205370773 220370767 224293315 317028669 346239195 357264255 428267717 528381115 616112319 661112301 672879945 1026853865 1101853835 1284803151 1585143345 1900178123 2141338585 2377509139 3080561595 3305561505 5700534369 6424015755 7132527417 9500890615 10884650969 11887545695 22698189001 28502671845 32653952907 35662637085 54423254845 68094567003 100709440519 113490945005 163269764535 195718346669 302128321557 340472835015 503547202595 587155040007 978591733345 1510641607785 2935775200035 10373072373457 31119217120371 51865361867285 155596085601855