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855353071609 = 2327925092
BaseRepresentation
bin11000111001001110000…
…01000001011111111001
310000202211000201010100221
430130213001001133321
5103003230341242414
61452535504500041
7115540306101361
oct14344701013771
93022730633327
10855353071609
112aa831567773
1211993401a621
1362875a6829a
142d5839c39a1
15173b2ad2224
hexc7270417f9

855353071609 has 27 divisors (see below), whose sum is σ = 907403715183. Its totient is φ = 806220255984.

The previous prime is 855353071567. The next prime is 855353071613. The reversal of 855353071609 is 906170353558.

The square root of 855353071609 is 924853.

It is a perfect power (a square), and thus also a powerful number.

855353071609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 695561004009 + 159792067600 = 834003^2 + 399740^2 .

It is not a de Polignac number, because 855353071609 - 27 = 855353071481 is a prime.

It is a super-2 number, since 2×8553530716092 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855353071679) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1680457647 + ... + 1680458155.

Almost surely, 2855353071609 is an apocalyptic number.

855353071609 is the 924853-rd square number.

855353071609 is the 462427-th centered octagonal number.

It is an amenable number.

855353071609 is a deficient number, since it is larger than the sum of its proper divisors (52050643574).

855353071609 is an frugal number, since it uses more digits than its factorization.

855353071609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 855353071609 in words is "eight hundred fifty-five billion, three hundred fifty-three million, seventy-one thousand, six hundred nine".

Divisors: 1 23 79 509 529 1817 6241 11707 40211 41791 143543 259081 269261 924853 3176669 3301489 5958863 20467399 21271619 73063387 137053849 470750177 1616924521 1680457901 10827254071 37189263983 855353071609