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147257155081 = 172225732
BaseRepresentation
bin1000100100100100110…
…1011101111000001001
3112002002121022112222201
42021021031131320021
54403040312430311
6151352103520201
713432112110561
oct2111115357011
9462077275881
10147257155081
11574a6909173
1224658159061
1310b6a2442ba
1471ad3a7da1
153c6cdd49c1
hex224935de09

147257155081 has 9 divisors (see below), whose sum is σ = 156435811221. Its totient is φ = 138588829632.

The previous prime is 147257155063. The next prime is 147257155121. The reversal of 147257155081 is 180551752741.

The square root of 147257155081 is 383741.

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 9304338681 + 137952816400 = 96459^2 + 371420^2 .

It is not a de Polignac number, because 147257155081 - 235 = 112897416713 is a prime.

It is a super-2 number, since 2×1472571550812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147257155021) 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, 6512311 + ... + 6534883.

Almost surely, 2147257155081 is an apocalyptic number.

147257155081 is the 383741-st square number.

147257155081 is the 191871-st centered octagonal number.

It is an amenable number.

147257155081 is a deficient number, since it is larger than the sum of its proper divisors (9178656140).

147257155081 is an frugal number, since it uses more digits than its factorization.

147257155081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45180 (or 22590 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 46.

The spelling of 147257155081 in words is "one hundred forty-seven billion, two hundred fifty-seven million, one hundred fifty-five thousand, eighty-one".

Divisors: 1 17 289 22573 383741 6523597 509540329 8662185593 147257155081