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12787117281330 = 235731773098481
BaseRepresentation
bin1011101000010011101110…
…0101010101000000110010
31200021102210012002221001120
42322010323211111000302
53134001004011000310
643110153125043110
72456560454346000
oct272047345250062
950242705087046
1012787117281330
11408aa93389367
12152628b856496
13719a8767bbb2
14322c84dc7a70
1517295022ab70
hexba13b955032

12787117281330 has 128 divisors (see below), whose sum is σ = 37894253068800. Its totient is φ = 2750841999360.

The previous prime is 12787117281317. The next prime is 12787117281493. The reversal of 12787117281330 is 3318271178721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36374311 + ... + 36724170.

It is an arithmetic number, because the mean of its divisors is an integer number (296048852100).

Almost surely, 212787117281330 is an apocalyptic number.

12787117281330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12787117281330 is an abundant number, since it is smaller than the sum of its proper divisors (25107135787470).

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

12787117281330 is a wasteful number, since it uses less digits than its factorization.

12787117281330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73098529 (or 73098515 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 12787117281330 in words is "twelve trillion, seven hundred eighty-seven billion, one hundred seventeen million, two hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 343 357 490 510 595 686 714 735 833 1029 1190 1470 1666 1715 1785 2058 2499 3430 3570 4165 4998 5145 5831 8330 10290 11662 12495 17493 24990 29155 34986 58310 87465 174930 73098481 146196962 219295443 365492405 438590886 511689367 730984810 1023378734 1096477215 1242674177 1535068101 2192954430 2485348354 2558446835 3070136202 3581825569 3728022531 5116893670 6213370885 7163651138 7456045062 7675340505 8698719239 10745476707 12426741770 15350681010 17397438478 17909127845 18640112655 21490953414 25072778983 26096157717 35818255690 37280225310 43493596195 50145557966 52192315434 53727383535 60891034673 75218336949 86987192390 107454767070 121782069346 125363894915 130480788585 150436673898 182673104019 250727789830 260961577170 304455173365 365346208038 376091684745 426237242711 608910346730 752183369490 852474485422 913365520095 1278711728133 1826731040190 2131186213555 2557423456266 4262372427110 6393558640665 12787117281330