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157087641329 is a prime number
BaseRepresentation
bin1001001001001100100…
…1110010111011110001
3120000110201002222221222
42102103021302323301
510033203414010304
6200055353154425
714230530630413
oct2222311627361
9500421088858
10157087641329
1160690972a73
12265403bba15
1311a75a8c878
147862c029b3
154145e5b4be
hex2493272ef1

157087641329 has 2 divisors, whose sum is σ = 157087641330. Its totient is φ = 157087641328.

The previous prime is 157087641241. The next prime is 157087641371. The reversal of 157087641329 is 923146780751.

157087641329 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., 105740081329 + 51347560000 = 325177^2 + 226600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157087641329 is a prime.

It is not a weakly prime, because it can be changed into another prime (157087641629) 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, 78543820664 + 78543820665.

It is an arithmetic number, because the mean of its divisors is an integer number (78543820665).

It is a 1-persistent number, because it is pandigital, but 2⋅157087641329 = 314175282658 is not.

Almost surely, 2157087641329 is an apocalyptic number.

It is an amenable number.

157087641329 is a deficient number, since it is larger than the sum of its proper divisors (1).

157087641329 is an equidigital number, since it uses as much as digits as its factorization.

157087641329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 157087641329 in words is "one hundred fifty-seven billion, eighty-seven million, six hundred forty-one thousand, three hundred twenty-nine".