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157006523129 is a prime number
BaseRepresentation
bin1001001000111001010…
…0010110101011111001
3120000021001110202201012
42102032110112223321
510033022132220004
6200043334403305
714225524266251
oct2221624265371
9500231422635
10157006523129
116064a0a8735
1226519200535
1311a6202a531
147856128961
15413dc8646e
hex248e516af9

157006523129 has 2 divisors, whose sum is σ = 157006523130. Its totient is φ = 157006523128.

The previous prime is 157006523077. The next prime is 157006523173. The reversal of 157006523129 is 921325600751.

157006523129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106437757504 + 50568765625 = 326248^2 + 224875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157006523129 is a prime.

It is not a weakly prime, because it can be changed into another prime (157006523029) 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 as a sum of consecutive naturals, namely, 78503261564 + 78503261565.

It is an arithmetic number, because the mean of its divisors is an integer number (78503261565).

Almost surely, 2157006523129 is an apocalyptic number.

It is an amenable number.

157006523129 is a deficient number, since it is larger than the sum of its proper divisors (1).

157006523129 is an equidigital number, since it uses as much as digits as its factorization.

157006523129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 157006523129 in words is "one hundred fifty-seven billion, six million, five hundred twenty-three thousand, one hundred twenty-nine".