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13225821199998 = 23112411732568361
BaseRepresentation
bin1100000001110110000001…
…0111111101111001111110
31201211101011012221002012120
43000131200113331321332
53213142440211344443
644043505224343410
72533351115211021
oct300354027757176
951741135832176
1013225821199998
11423a0482a8700
121597304914b66
1374c2606a7354
1433a1c15771b8
1517e079942083
hexc07605fde7e

13225821199998 has 96 divisors (see below), whose sum is σ = 29956264835616. Its totient is φ = 3887469696000.

The previous prime is 13225821199993. The next prime is 13225821200023. The reversal of 13225821199998 is 89999112852231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225821199993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3865338 + ... + 6433698.

It is an arithmetic number, because the mean of its divisors is an integer number (312044425371).

Almost surely, 213225821199998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225821199998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978132417808).

13225821199998 is an abundant number, since it is smaller than the sum of its proper divisors (16730443635618).

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

13225821199998 is a wasteful number, since it uses less digits than its factorization.

13225821199998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568602 (or 2568591 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 69.

The spelling of 13225821199998 in words is "thirteen trillion, two hundred twenty-five billion, eight hundred twenty-one million, one hundred ninety-nine thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 173 242 246 346 363 451 519 726 902 1038 1353 1903 2706 3806 4961 5709 7093 9922 11418 14186 14883 20933 21279 29766 41866 42558 62799 78023 125598 156046 234069 468138 858253 1716506 2568361 2574759 5136722 5149518 7705083 15410166 28251971 56503942 84755913 105302801 169511826 210605602 310771681 315908403 444326453 621543362 631816806 888652906 932315043 1158330811 1332979359 1864630086 2316661622 2665958718 3474992433 4887590983 6949984866 9775181966 12741638921 14662772949 18217384573 25483277842 29325545898 36434769146 38224916763 53763500813 54652153719 76449833526 107527001626 109304307438 161290502439 200391230303 322581004878 400782460606 601173690909 1202347381818 2204303533333 4408607066666 6612910599999 13225821199998