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153346612041 = 32715715503651
BaseRepresentation
bin1000111011010000101…
…0111001101101001001
3112122210222201000112200
42032310022321231021
510003023213041131
6154240234030413
714036033460450
oct2166412715511
9478728630480
10153346612041
115a04118a327
1225877578409
13115caa01a7c
1475ca021b97
153ec77dd2e6
hex23b42b9b49

153346612041 has 24 divisors (see below), whose sum is σ = 254756009664. Its totient is φ = 87068498400.

The previous prime is 153346612019. The next prime is 153346612079. The reversal of 153346612041 is 140216643351.

153346612041 is a `hidden beast` number, since 1 + 5 + 3 + 34 + 6 + 612 + 0 + 4 + 1 = 666.

153346612041 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 153346612041 - 211 = 153346609993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153346611987 and 153346612005.

It is not an unprimeable number, because it can be changed into a prime (153346612091) 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 23 ways as a sum of consecutive naturals, for example, 7741935 + ... + 7761716.

It is an arithmetic number, because the mean of its divisors is an integer number (10614833736).

Almost surely, 2153346612041 is an apocalyptic number.

It is an amenable number.

153346612041 is a deficient number, since it is larger than the sum of its proper divisors (101409397623).

153346612041 is a wasteful number, since it uses less digits than its factorization.

153346612041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503821 (or 15503818 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 153346612041 in words is "one hundred fifty-three billion, three hundred forty-six million, six hundred twelve thousand, forty-one".

Divisors: 1 3 7 9 21 63 157 471 1099 1413 3297 9891 15503651 46510953 108525557 139532859 325576671 976730013 2434073207 7302219621 17038512449 21906658863 51115537347 153346612041