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325227720753 = 331341137293563
BaseRepresentation
bin1001011101110010001…
…01010011000000110001
31011002110200100000201000
410232321011103000301
520312031244031003
6405224010432213
732332306004535
oct4567105230061
91132420300630
10325227720753
11115a2362a2a1
1253046132669
13248905a6b20
1411a53845bc5
1586d73641a3
hex4bb9153031

325227720753 has 128 divisors (see below), whose sum is σ = 538198940160. Its totient is φ = 192828764160.

The previous prime is 325227720593. The next prime is 325227720757. The reversal of 325227720753 is 357027722523.

325227720753 is a `hidden beast` number, since 3 + 2 + 522 + 7 + 72 + 0 + 7 + 53 = 666.

It is not a de Polignac number, because 325227720753 - 29 = 325227720241 is a prime.

It is a super-3 number, since 3×3252277207533 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 325227720699 and 325227720708.

It is not an unprimeable number, because it can be changed into a prime (325227720757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 577668850 + ... + 577669412.

It is an arithmetic number, because the mean of its divisors is an integer number (4204679220).

Almost surely, 2325227720753 is an apocalyptic number.

It is an amenable number.

325227720753 is a deficient number, since it is larger than the sum of its proper divisors (212971219407).

325227720753 is a wasteful number, since it uses less digits than its factorization.

325227720753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 325227720753 in words is "three hundred twenty-five billion, two hundred twenty-seven million, seven hundred twenty thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 27 39 41 117 123 137 293 351 369 411 533 563 879 1107 1233 1599 1689 1781 2637 3699 3809 4797 5067 5343 5617 7319 7911 11427 12013 14391 15201 16029 16851 21957 23083 34281 36039 40141 48087 50553 65871 69249 73021 77131 102843 108117 120423 151659 156169 164959 197613 207747 219063 231393 300079 324351 361269 468507 494877 521833 623241 657189 694179 900237 1002703 1083807 1405521 1484631 1565499 1645781 1971567 2082537 2144467 2700711 3008109 3162371 4216563 4453893 4696497 4937343 6433401 6763319 8102133 9024327 9487113 14089491 14812029 19300203 20289957 21395153 22599383 27072981 28461339 41110823 44436087 57900609 60869871 64185459 67798149 85384017 87923147 123332469 182609613 192556377 203394447 263769441 293791979 369997407 577669131 610183341 791308323 881375937 926574703 1109992221 2373924969 2644127811 2779724109 7932383433 8339172327 12045471139 25017516981 36136413417 108409240251 325227720753