Search a number
-
+
6055110364512 = 2531128971979291
BaseRepresentation
bin101100000011101000010…
…1100111100110101100000
3210102212022001102010201210
41120013100230330311200
51243201331223131022
620513402421230120
71163316164611626
oct130072054746540
923385261363653
106055110364512
111a24a59a42a50
12819630262340
1334bcc0a90641
1416d0d710d516
15a77922d4a0c
hex581d0b3cd60

6055110364512 has 96 divisors (see below), whose sum is σ = 17345628365184. Its totient is φ = 1834247628800.

The previous prime is 6055110364507. The next prime is 6055110364559. The reversal of 6055110364512 is 2154630115506.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2069587 + ... + 4048877.

It is an arithmetic number, because the mean of its divisors is an integer number (180683628804).

Almost surely, 26055110364512 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 6055110364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672814182592).

6055110364512 is an abundant number, since it is smaller than the sum of its proper divisors (11290518000672).

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

6055110364512 is a wasteful number, since it uses less digits than its factorization.

6055110364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982212 (or 1982204 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 6055110364512 in words is "six trillion, fifty-five billion, one hundred ten million, three hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2897 5794 8691 11588 17382 23176 31867 34764 46352 63734 69528 92704 95601 127468 139056 191202 254936 278112 382404 509872 764808 1019744 1529616 1979291 3059232 3958582 5937873 7917164 11875746 15834328 21772201 23751492 31668656 43544402 47502984 63337312 65316603 87088804 95005968 130633206 174177608 190011936 261266412 348355216 522532824 696710432 1045065648 2090131296 5734006027 11468012054 17202018081 22936024108 34404036162 45872048216 63074066297 68808072324 91744096432 126148132594 137616144648 183488192864 189222198891 252296265188 275232289296 378444397782 504592530376 550464578592 756888795564 1009185060752 1513777591128 2018370121504 3027555182256 6055110364512