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152713335753 = 32111989912217
BaseRepresentation
bin1000111000111001101…
…1001001001111001001
3112121011212002020210100
42032032123021033021
510000224103221003
6154053332440013
714014243636056
oct2161633111711
9477155066710
10152713335753
11598467734a0
122571b479009
1311529754b84
147569c9602d
153e8bdeaba3
hex238e6c93c9

152713335753 has 48 divisors (see below), whose sum is σ = 256150814400. Its totient is φ = 86697008640.

The previous prime is 152713335701. The next prime is 152713335767. The reversal of 152713335753 is 357533317251.

152713335753 is a `hidden beast` number, since 1 + 5 + 2 + 71 + 3 + 3 + 3 + 575 + 3 = 666.

152713335753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152713335753 - 212 = 152713331657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152713335699 and 152713335708.

It is not an unprimeable number, because it can be changed into a prime (152713330753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288700 + ... + 623517.

It is an arithmetic number, because the mean of its divisors is an integer number (5336475300).

Almost surely, 2152713335753 is an apocalyptic number.

It is an amenable number.

152713335753 is a deficient number, since it is larger than the sum of its proper divisors (103437478647).

152713335753 is a wasteful number, since it uses less digits than its factorization.

152713335753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912342 (or 912339 counting only the distinct ones).

The product of its digits is 992250, while the sum is 45.

The spelling of 152713335753 in words is "one hundred fifty-two billion, seven hundred thirteen million, three hundred thirty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 11 19 33 57 89 99 171 209 267 627 801 979 1691 1881 2937 5073 8811 15219 18601 55803 167409 912217 2736651 8209953 10034387 17332123 30103161 51996369 81187313 90309483 155989107 190653353 243561939 571960059 730685817 893060443 1542558947 1715880177 2679181329 4627676841 8037543987 13883030523 16968148417 50904445251 152713335753