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152543556561 = 31131127535399
BaseRepresentation
bin1000111000010001001…
…1011111001111010001
3112120202000121120112010
42032010103133033101
54444402122302221
6154024425453133
714010112560024
oct2160423371721
9476660546463
10152543556561
1159769951910
12256926411a9
131150051c206
1475514dd1bb
153e7c060c76
hex23844df3d1

152543556561 has 32 divisors (see below), whose sum is σ = 222717081600. Its totient is φ = 92102835200.

The previous prime is 152543556551. The next prime is 152543556563. The reversal of 152543556561 is 165655345251.

152543556561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 152543556561 - 215 = 152543523793 is a prime.

It is a super-2 number, since 2×1525435565612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152543556561.

It is not an unprimeable number, because it can be changed into a prime (152543556563) 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 31 ways as a sum of consecutive naturals, for example, 28251340 + ... + 28256738.

It is an arithmetic number, because the mean of its divisors is an integer number (6959908800).

Almost surely, 2152543556561 is an apocalyptic number.

152543556561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152543556561 is a deficient number, since it is larger than the sum of its proper divisors (70173525039).

152543556561 is a wasteful number, since it uses less digits than its factorization.

152543556561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477.

The product of its digits is 2700000, while the sum is 48.

The spelling of 152543556561 in words is "one hundred fifty-two billion, five hundred forty-three million, five hundred fifty-six thousand, five hundred sixty-one".

Divisors: 1 3 11 33 311 933 2753 3421 5399 8259 10263 16197 30283 59389 90849 178167 856183 1679089 2568549 5037267 9418013 14863447 18469979 28254039 44590341 55409937 163497917 490493751 4622532017 13867596051 50847852187 152543556561