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13214647875 = 3531113832969
BaseRepresentation
bin11000100111010011…
…11000011001000011
31021002221200122222210
430103221320121003
5204030422213000
610023135433203
7645320440122
oct142351703103
937087618883
1013214647875
1156713625a0
122689685803
1313279b7290
148d5081ab9
15525201350
hex313a78643

13214647875 has 128 divisors (see below), whose sum is σ = 26153487360. Its totient is φ = 5841024000.

The previous prime is 13214647867. The next prime is 13214647903. The reversal of 13214647875 is 57874641231.

It is not a de Polignac number, because 13214647875 - 23 = 13214647867 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4449391 + ... + 4452359.

It is an arithmetic number, because the mean of its divisors is an integer number (204324120).

Almost surely, 213214647875 is an apocalyptic number.

13214647875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13214647875 is a deficient number, since it is larger than the sum of its proper divisors (12938839485).

13214647875 is a wasteful number, since it uses less digits than its factorization.

13214647875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 13214647875 in words is "thirteen billion, two hundred fourteen million, six hundred forty-seven thousand, eight hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 83 125 143 165 195 249 275 325 375 415 429 715 825 913 975 1079 1245 1375 1625 2075 2145 2739 2969 3237 3575 4125 4565 4875 5395 6225 8907 10375 10725 11869 13695 14845 16185 17875 22825 26975 31125 32659 35607 38597 44535 53625 59345 68475 74225 80925 97977 114125 115791 134875 163295 178035 192985 222675 246427 296725 342375 371125 404625 424567 489885 578955 739281 816475 890175 964925 1113375 1232135 1273701 1483625 2122835 2449425 2710697 2894775 3203551 3696405 4082375 4450875 4824625 6160675 6368505 8132091 9610653 10614175 12247125 13553485 14473875 16017755 18482025 30803375 31842525 35239061 40660455 48053265 53070875 67767425 80088775 92410125 105717183 159212625 176195305 203302275 240266325 338837125 400443875 528585915 880976525 1016511375 1201331625 2642929575 4404882625 13214647875