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12575051307 = 347135332189
BaseRepresentation
bin10111011011000100…
…00000111000101011
31012110101011210110000
423231202000320223
5201223203120212
65435450554043
7623423113110
oct135542007053
935411153400
1012575051307
11537331a195
12252b438923
131255336680
1487414c907
154d8eb11dc
hex2ed880e2b

12575051307 has 80 divisors (see below), whose sum is σ = 23556899520. Its totient is φ = 6507641088.

The previous prime is 12575051299. The next prime is 12575051323. The reversal of 12575051307 is 70315057521.

It is a happy number.

12575051307 is a `hidden beast` number, since 1 + 2 + 575 + 0 + 51 + 30 + 7 = 666.

It is not a de Polignac number, because 12575051307 - 23 = 12575051299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12575051807) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374569 + ... + 406757.

It is an arithmetic number, because the mean of its divisors is an integer number (294461244).

Almost surely, 212575051307 is an apocalyptic number.

12575051307 is a deficient number, since it is larger than the sum of its proper divisors (10981848213).

12575051307 is a wasteful number, since it uses less digits than its factorization.

12575051307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32274 (or 32265 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 12575051307 in words is "twelve billion, five hundred seventy-five million, fifty-one thousand, three hundred seven".

Divisors: 1 3 7 9 13 21 27 39 53 63 81 91 117 159 189 273 351 371 477 567 689 819 1053 1113 1431 2067 2457 3339 4293 4823 6201 7371 10017 14469 18603 30051 32189 43407 55809 96567 130221 225323 289701 390663 418457 675969 869103 1255371 1706017 2027907 2607309 2929199 3766113 5118051 6083721 8787597 11298339 11942119 15354153 18251163 22178221 26362791 33895017 35826357 46062459 66534663 79088373 107479071 138187377 155247547 199603989 237265119 322437213 465742641 598811967 967311639 1397227923 1796435901 4191683769 12575051307