Search a number
-
+
153105652061729 is a prime number
BaseRepresentation
bin100010110011111110110000…
…000000010001011000100001
3202002002202110010201220012222
4202303332300000101120201
5130031440333411433404
61301343433210000425
744151342533545163
oct4263766000213041
9662082403656188
10153105652061729
1144869819150734
1215208a99116115
136757a54b60673
1429b44d2c90933
1512a79691b7dbe
hex8b3fb0011621

153105652061729 has 2 divisors, whose sum is σ = 153105652061730. Its totient is φ = 153105652061728.

The previous prime is 153105652061723. The next prime is 153105652061797. The reversal of 153105652061729 is 927160256501351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106671240143329 + 46434411918400 = 10328177^2 + 6814280^2 .

It is a cyclic number.

It is not a de Polignac number, because 153105652061729 - 236 = 153036932584993 is a prime.

It is not a weakly prime, because it can be changed into another prime (153105652061723) 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, 76552826030864 + 76552826030865.

It is an arithmetic number, because the mean of its divisors is an integer number (76552826030865).

Almost surely, 2153105652061729 is an apocalyptic number.

It is an amenable number.

153105652061729 is a deficient number, since it is larger than the sum of its proper divisors (1).

153105652061729 is an equidigital number, since it uses as much as digits as its factorization.

153105652061729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 153105652061729 in words is "one hundred fifty-three trillion, one hundred five billion, six hundred fifty-two million, sixty-one thousand, seven hundred twenty-nine".