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13500111328 = 2511241277307
BaseRepresentation
bin11001001001010101…
…10101100111100000
31021211211211201020021
430210222311213200
5210122012030303
610111334123224
7655355024104
oct144452654740
937754751207
1013500111328
1157a8508500
1227491b0514
131371b95672
14920d4d904
155402dcebd
hex324ab59e0

13500111328 has 144 divisors (see below), whose sum is σ = 30132626832. Its totient is φ = 5945702400.

The previous prime is 13500111307. The next prime is 13500111329. The reversal of 13500111328 is 82311100531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500111329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43974151 + ... + 43974457.

It is an arithmetic number, because the mean of its divisors is an integer number (209254353).

Almost surely, 213500111328 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 13500111328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066313416).

13500111328 is an abundant number, since it is smaller than the sum of its proper divisors (16632515504).

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

13500111328 is a wasteful number, since it uses less digits than its factorization.

13500111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 13500111328 its reverse (82311100531), we get a palindrome (95811211859).

The spelling of 13500111328 in words is "thirteen billion, five hundred million, one hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 242 277 307 328 352 451 484 554 614 656 902 968 1108 1228 1312 1804 1936 2216 2456 3047 3377 3608 3872 4432 4912 4961 6094 6754 7216 8864 9824 9922 11357 12188 12587 13508 14432 19844 22714 24376 25174 27016 33517 37147 39688 45428 48752 50348 54032 67034 74294 79376 85039 90856 97504 100696 108064 124927 134068 138457 148588 158752 170078 181712 201392 249854 268136 276914 297176 340156 363424 402784 499708 536272 553828 594352 680312 935429 999416 1072544 1107656 1188704 1360624 1374197 1523027 1870858 1998832 2215312 2721248 2748394 3046054 3486599 3741716 3997664 4430624 5496788 6092108 6973198 7483432 10289719 10993576 12184216 13946396 14966864 20579438 21987152 24368432 27892792 29933728 38352589 41158876 43974304 48736864 55785584 76705178 82317752 111571168 153410356 164635504 306820712 329271008 421878479 613641424 843756958 1227282848 1687513916 3375027832 6750055664 13500111328