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153818486809 = 132301692
BaseRepresentation
bin1000111101000001001…
…0111101100000011001
3112201000212121202000221
42033100102331200121
510010010013034214
6154355132000041
714053523364601
oct2172022754031
9481025552027
10153818486809
115a263586879
1225989600021
13116746ba300
147632975c01
154003e4ce24
hex23d04bd819

153818486809 has 9 divisors (see below), whose sum is σ = 166566367773. Its totient is φ = 141981589152.

The previous prime is 153818486803. The next prime is 153818486839. The reversal of 153818486809 is 908684818351.

The square root of 153818486809 is 392197.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14370015625 + 139448471184 = 119875^2 + 373428^2 .

It is not a de Polignac number, because 153818486809 - 231 = 151671003161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153818486803) 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 8 ways as a sum of consecutive naturals, for example, 5083477 + ... + 5113645.

It is an arithmetic number, because the mean of its divisors is an integer number (18507374197).

Almost surely, 2153818486809 is an apocalyptic number.

153818486809 is the 392197-th square number.

153818486809 is the 196099-th centered octagonal number.

It is an amenable number.

153818486809 is a deficient number, since it is larger than the sum of its proper divisors (12747880964).

153818486809 is an frugal number, since it uses more digits than its factorization.

153818486809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60364 (or 30182 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 61.

The spelling of 153818486809 in words is "one hundred fifty-three billion, eight hundred eighteen million, four hundred eighty-six thousand, eight hundred nine".

Divisors: 1 13 169 30169 392197 5098561 910168561 11832191293 153818486809