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152630081041 = 103237932
BaseRepresentation
bin1000111000100101110…
…1100011011000010001
3112120222001102110210111
42032021131203120101
510000041300043131
6154041200201321
714012213166004
oct2161135433021
9476861373714
10152630081041
1159803779a49
12256b7609241
1311515425229
14755cbc353b
153e84952ab1
hex2389763611

152630081041 has 9 divisors (see below), whose sum is σ = 154166958459. Its totient is φ = 151108386336.

The previous prime is 152630081039. The next prime is 152630081077. The reversal of 152630081041 is 140180036251.

The square root of 152630081041 is 390679.

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

It can be written as a sum of positive squares in only one way, i.e., 27670659025 + 124959422016 = 166345^2 + 353496^2 .

It is not a de Polignac number, because 152630081041 - 21 = 152630081039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152630080994 and 152630081012.

It is not an unprimeable number, because it can be changed into a prime (152630081641) 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, 40238041 + ... + 40241833.

It is an arithmetic number, because the mean of its divisors is an integer number (17129662051).

Almost surely, 2152630081041 is an apocalyptic number.

152630081041 is the 390679-th square number.

152630081041 is the 195340-th centered octagonal number.

It is an amenable number.

152630081041 is a deficient number, since it is larger than the sum of its proper divisors (1536877418).

152630081041 is an frugal number, since it uses more digits than its factorization.

152630081041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 152630081041 in words is "one hundred fifty-two billion, six hundred thirty million, eighty-one thousand, forty-one".

Divisors: 1 103 3793 10609 390679 14386849 40239937 1481845447 152630081041