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152231848561 = 132300132
BaseRepresentation
bin1000110111000110111…
…0011010101001110001
3112112221022002011112101
42031301232122221301
54443232323123221
6153533452500401
713666306235242
oct2156156325161
9475838064471
10152231848561
1159619a00aa1
122560617a701
1311480a82300
147521d5ccc9
153e5e9dcd91
hex2371b9aa71

152231848561 has 9 divisors (see below), whose sum is σ = 164848263489. Its totient is φ = 140517024336.

The previous prime is 152231848541. The next prime is 152231848579. The reversal of 152231848561 is 165848132251.

The square root of 152231848561 is 390169.

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 128822848561 + 23409000000 = 358919^2 + 153000^2 .

It is not a de Polignac number, because 152231848561 - 211 = 152231846513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152231848501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5057191 + ... + 5087203.

It is an arithmetic number, because the mean of its divisors is an integer number (18316473721).

Almost surely, 2152231848561 is an apocalyptic number.

152231848561 is the 390169-th square number.

152231848561 is the 195085-th centered octagonal number.

It is an amenable number.

152231848561 is a deficient number, since it is larger than the sum of its proper divisors (12616414928).

152231848561 is an frugal number, since it uses more digits than its factorization.

152231848561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60052 (or 30026 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 152231848561 in words is "one hundred fifty-two billion, two hundred thirty-one million, eight hundred forty-eight thousand, five hundred sixty-one".

Divisors: 1 13 169 30013 390169 5072197 900780169 11710142197 152231848561