Search a number
-
+
153184292929161 = 32136521892007497
BaseRepresentation
bin100010110101000111111111…
…010111010111111010001001
3202002101021102202101212211200
4202311013333113113322021
5130034232412442213121
61301443520452414413
744160125403104154
oct4265077727277211
9662337382355750
10153184292929161
114489a10394135a
1215220185917409
1367622a8525310
1429b8233314c9b
1512a9a1d1b5a26
hex8b51ff5d7e89

153184292929161 has 24 divisors (see below), whose sum is σ = 238287161952840. Its totient is φ = 94267065689856.

The previous prime is 153184292929123. The next prime is 153184292929207. The reversal of 153184292929161 is 161929292481351.

It is a happy number.

153184292929161 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 8 + 429 + 29 + 29 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1985791090761 + 151198501838400 = 1409181^2 + 12296280^2 .

It is not a de Polignac number, because 153184292929161 - 26 = 153184292929097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153184292929121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75302365 + ... + 77309861.

It is an arithmetic number, because the mean of its divisors is an integer number (9928631748035).

Almost surely, 2153184292929161 is an apocalyptic number.

It is an amenable number.

153184292929161 is a deficient number, since it is larger than the sum of its proper divisors (85102869023679).

153184292929161 is a wasteful number, since it uses less digits than its factorization.

153184292929161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659705 (or 2659702 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 153184292929161 in words is "one hundred fifty-three trillion, one hundred eighty-four billion, two hundred ninety-two million, nine hundred twenty-nine thousand, one hundred sixty-one".

Divisors: 1 3 9 13 39 117 652189 1956567 2007497 5869701 6022491 8478457 18067473 25435371 26097461 76306113 78292383 234877149 1309267460933 3927802382799 11783407148397 17020476992129 51061430976387 153184292929161