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13143146715392 = 281719900117659
BaseRepresentation
bin1011111101000010000010…
…0101110101100100000000
31201112110202111022010001012
42333100200211311210000
53210314131024343032
643541513411300052
72524363266533141
oct277204045654400
951473674263035
1013143146715392
114207a82752771
1215832912aa628
13744516450785
143361bb52bac8
1517bd3b77d6b2
hexbf420975900

13143146715392 has 144 divisors (see below), whose sum is σ = 29245099867200. Its totient is φ = 5858500608000.

The previous prime is 13143146715199. The next prime is 13143146715403. The reversal of 13143146715392 is 29351764134131.

It is a self number, because there is not a number n which added to its sum of digits gives 13143146715392.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744265859 + ... + 744283517.

It is an arithmetic number, because the mean of its divisors is an integer number (203090971300).

Almost surely, 213143146715392 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 13143146715392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622549933600).

13143146715392 is an abundant number, since it is smaller than the sum of its proper divisors (16101953151808).

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

13143146715392 is a wasteful number, since it uses less digits than its factorization.

13143146715392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26698 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The spelling of 13143146715392 in words is "thirteen trillion, one hundred forty-three billion, one hundred forty-six million, seven hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 9001 10336 17659 18002 20672 35318 36004 41344 70636 72008 82688 141272 144016 153017 171019 282544 288032 300203 306034 335521 342038 565088 576064 600406 612068 671042 684076 1130176 1152128 1200812 1224136 1342084 1368152 2260352 2304256 2401624 2448272 2684168 2736304 2907323 4520704 4803248 4896544 5368336 5472608 5703857 5814646 9606496 9793088 10736672 10945216 11407714 11629292 19212992 19586176 21473344 21890432 22815428 23258584 38425984 39172352 42946688 43780864 45630856 46517168 76851968 85893376 91261712 93034336 158948659 182523424 186068672 317897318 365046848 372137344 635794636 730093696 744274688 1271589272 1460187392 2543178544 2702127203 3020024521 5086357088 5404254406 6040049042 10172714176 10808508812 12080098084 20345428352 21617017624 24160196168 40690856704 43234035248 48320392336 51340416857 86468070496 96640784672 102680833714 172936140992 193281569344 205361667428 345872281984 386563138688 410723334856 691744563968 773126277376 821446669712 1642893339424 3285786678848 6571573357696 13143146715392