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152678830941 = 32731343103859
BaseRepresentation
bin1000111000110001011…
…1100001001101011101
3112121002110011020002100
42032030113201031131
510000141240042231
6154050101115313
714013344436000
oct2161427411535
9477073136070
10152678830941
115982924651a
122570b9b8b39
1311522563620
147565473537
153e88d821e6
hex238c5e135d

152678830941 has 192 divisors, whose sum is σ = 286494208000. Its totient is φ = 77806624896.

The previous prime is 152678830939. The next prime is 152678830991. The reversal of 152678830941 is 149038876251.

152678830941 is a `hidden beast` number, since 1 + 526 + 7 + 88 + 30 + 9 + 4 + 1 = 666.

152678830941 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 152678830941 - 21 = 152678830939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152678830991) 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 191 ways as a sum of consecutive naturals, for example, 177739770 + ... + 177740628.

It is a 1-persistent number, because it is pandigital, but 2⋅152678830941 = 305357661882 is not.

Almost surely, 2152678830941 is an apocalyptic number.

It is an amenable number.

152678830941 is a deficient number, since it is larger than the sum of its proper divisors (133815377059).

152678830941 is a wasteful number, since it uses less digits than its factorization.

152678830941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 152678830941 in words is "one hundred fifty-two billion, six hundred seventy-eight million, eight hundred thirty thousand, nine hundred forty-one".