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13528379833098 = 23132371987711959
BaseRepresentation
bin1100010011011101001001…
…0001100011101100001010
31202220022010001101010201120
43010313102101203230022
53233122110214124343
644434504002100110
72564251602154164
oct304672221435412
952808101333646
1013528379833098
114346398805909
121625a8304a636
1377194a624130
1434aac442d934
15186d86a5e683
hexc4dd2463b0a

13528379833098 has 128 divisors (see below), whose sum is σ = 30484474675200. Its totient is φ = 3971193253632.

The previous prime is 13528379833091. The next prime is 13528379833103. The reversal of 13528379833098 is 89033897382531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (13528379833091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131224043 + ... + 1131236001.

It is an arithmetic number, because the mean of its divisors is an integer number (238159958400).

Almost surely, 213528379833098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13528379833098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242237337600).

13528379833098 is an abundant number, since it is smaller than the sum of its proper divisors (16956094842102).

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

13528379833098 is a wasteful number, since it uses less digits than its factorization.

13528379833098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13596.

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 13528379833098 in words is "thirteen trillion, five hundred twenty-eight billion, three hundred seventy-nine million, eight hundred thirty-three thousand, ninety-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 719 877 897 1438 1754 1794 2157 2631 4314 5262 9347 11401 11959 16537 18694 20171 22802 23918 28041 33074 34203 35877 40342 49611 56082 60513 68406 71754 99222 121026 155467 214981 262223 275057 310934 429962 466401 524446 550114 630563 644943 786669 825171 932802 1261126 1289886 1573338 1650342 1891689 3575741 3783378 7151482 8197319 8598521 10488043 10727223 14502949 16394638 17197042 20976086 21454446 24591957 25795563 29005898 31464129 43508847 49183914 51591126 62928258 87017694 111780773 136344559 188538337 197765983 223561546 241224989 272689118 335342319 377076674 395531966 409033677 482449978 565615011 593297949 670684638 723674967 818067354 1131230022 1186595898 1447349934 2570957779 3135924857 5141915558 6271849714 7540902917 7712873337 9407774571 15081805834 15425746674 18815549142 22622708751 45245417502 98031737921 173440767091 196063475842 294095213763 346881534182 520322301273 588190427526 1040644602546 2254729972183 4509459944366 6764189916549 13528379833098