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152314005641 = 7839222111677
BaseRepresentation
bin1000110111011010011…
…1110100100010001001
3112120011000200011212012
42031312213310202021
54443414341140031
6153545545425305
714001324454250
oct2156647644211
9476130604765
10152314005641
1159661315906
122562979b235
1311494ab9475
14752cc27797
153e66d1ab2b
hex23769f4889

152314005641 has 16 divisors (see below), whose sum is σ = 174374027520. Its totient is φ = 130329380160.

The previous prime is 152314005637. The next prime is 152314005659. The reversal of 152314005641 is 146500413251.

152314005641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152314005641 - 22 = 152314005637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152314005598 and 152314005607.

It is not an unprimeable number, because it can be changed into a prime (152314005601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13038095 + ... + 13049771.

It is an arithmetic number, because the mean of its divisors is an integer number (10898376720).

Almost surely, 2152314005641 is an apocalyptic number.

It is an amenable number.

152314005641 is a deficient number, since it is larger than the sum of its proper divisors (22060021879).

152314005641 is a wasteful number, since it uses less digits than its factorization.

152314005641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 152314005641 its reverse (146500413251), we get a palindrome (298814418892).

The spelling of 152314005641 in words is "one hundred fifty-two billion, three hundred fourteen million, five thousand, six hundred forty-one".

Divisors: 1 7 839 2221 5873 11677 15547 81739 1863419 9797003 13043933 25934617 68579021 181542319 21759143663 152314005641