Search a number
-
+
106110600054504 = 233291636781137933
BaseRepresentation
bin11000001000000111001100…
…100111111000011011101000
3111220201002000011100222120220
4120020013030213320123220
5102402004002103221004
61013402311532450040
731231144405461063
oct3010071447703350
9456632004328526
10106110600054504
11308a0286484551
12ba98b41319920
1347292570ba276
141c2bacd7838da
15c402a837ddd9
hex6081cc9f86e8

106110600054504 has 128 divisors (see below), whose sum is σ = 276150268137600. Its totient is φ = 33935774100480.

The previous prime is 106110600054469. The next prime is 106110600054581. The reversal of 106110600054504 is 405450006011601.

It is a super-2 number, since 2×1061106000545042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769221922 + ... + 769359854.

It is an arithmetic number, because the mean of its divisors is an integer number (2157423969825).

Almost surely, 2106110600054504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106110600054504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138075134068800).

106110600054504 is an abundant number, since it is smaller than the sum of its proper divisors (170039668083096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106110600054504 is a wasteful number, since it uses less digits than its factorization.

106110600054504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144915 (or 144911 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 106110600054504 in words is "one hundred six trillion, one hundred ten billion, six hundred million, fifty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 6781 9454 13562 14181 18908 20343 27124 28362 37816 40686 54248 56724 81372 113448 137933 162744 196649 275866 393298 413799 551732 589947 786596 827598 1103464 1105303 1179894 1573192 1655196 2210606 2359788 3310392 3315909 4000057 4421212 4719576 6631818 8000114 8842424 12000171 13263636 16000228 22483079 24000342 26527272 32000456 32053787 44966158 48000684 64107574 67449237 89932316 96001368 96161361 128215148 134898474 179864632 192322722 256430296 269796948 384645444 539593896 652009291 769290888 935323673 1304018582 1870647346 1956027873 2608037164 2805971019 3741294692 3912055746 5216074328 5611942038 7482589384 7824111492 11223884076 15648222984 22447768152 27124386517 54248773034 81373159551 108497546068 152457758699 162746319102 216995092136 304915517398 325492638204 457373276097 609831034796 650985276408 914746552194 1219662069592 1829493104388 3658986208776 4421275002271 8842550004542 13263825006813 17685100009084 26527650013626 35370200018168 53055300027252 106110600054504