Search a number
-
+
76447603010153 is a prime number
BaseRepresentation
bin10001011000011101011000…
…001110001010101001101001
3101000200022121220012011101202
4101120131120032022221221
540010004142332311103
6430331313300253545
722050104603662334
oct2130353016125151
9330608556164352
1076447603010153
11223a4278a06a81
1286a80836a12b5
133386c9397105b
1414c4125a6d61b
158c889e58c988
hex45875838aa69

76447603010153 has 2 divisors, whose sum is σ = 76447603010154. Its totient is φ = 76447603010152.

The previous prime is 76447603010143. The next prime is 76447603010161. The reversal of 76447603010153 is 35101030674467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54826516587049 + 21621086423104 = 7404493^2 + 4649848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-76447603010153 is a prime.

It is a super-3 number, since 3×764476030101533 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76447603010098 and 76447603010107.

It is not a weakly prime, because it can be changed into another prime (76447603010143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38223801505076 + 38223801505077.

It is an arithmetic number, because the mean of its divisors is an integer number (38223801505077).

Almost surely, 276447603010153 is an apocalyptic number.

It is an amenable number.

76447603010153 is a deficient number, since it is larger than the sum of its proper divisors (1).

76447603010153 is an equidigital number, since it uses as much as digits as its factorization.

76447603010153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 76447603010153 in words is "seventy-six trillion, four hundred forty-seven billion, six hundred three million, ten thousand, one hundred fifty-three".