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13506328310860 = 22571153871628057
BaseRepresentation
bin1100010010001010111111…
…1001101011010001001100
31202211012012020112202000201
43010202233321223101030
53232241430021421420
644420415505303244
72562541256260660
oct304425771532114
952735166482021
1013506328310860
114338002249870
12162174a034b24
1376c844c02c18
143499d18ba8a0
151864e5b5510a
hexc48afe6b44c

13506328310860 has 96 divisors (see below), whose sum is σ = 35368609264128. Its totient is φ = 4208980615680.

The previous prime is 13506328310851. The next prime is 13506328310869. The reversal of 13506328310860 is 6801382360531.

13506328310860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13506328310851) and next prime (13506328310869).

It is a self number, because there is not a number n which added to its sum of digits gives 13506328310860.

It is not an unprimeable number, because it can be changed into a prime (13506328310869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7481952 + ... + 9110008.

It is an arithmetic number, because the mean of its divisors is an integer number (368423013168).

Almost surely, 213506328310860 is an apocalyptic number.

13506328310860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506328310860 is an abundant number, since it is smaller than the sum of its proper divisors (21862280953268).

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

13506328310860 is a wasteful number, since it uses less digits than its factorization.

13506328310860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633471 (or 1633469 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 13506328310860 in words is "thirteen trillion, five hundred six billion, three hundred twenty-eight million, three hundred ten thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 5387 10774 21548 26935 37709 53870 59257 75418 107740 118514 150836 188545 237028 296285 377090 414799 592570 754180 829598 1185140 1628057 1659196 2073995 3256114 4147990 6512228 8140285 8295980 11396399 16280570 17908627 22792798 32561140 35817254 45585596 56981995 71634508 89543135 113963990 125360389 179086270 227927980 250720778 358172540 501441556 626801945 1253603890 2507207780 8770343059 17540686118 35081372236 43851715295 61392401413 87703430590 96473773649 122784802826 175406861180 192947547298 245569605652 306962007065 385895094596 482368868245 613924014130 675316415543 964737736490 1227848028260 1350632831086 1929475472980 2701265662172 3376582077715 6753164155430 13506328310860