Search a number
-
+
57629378689 is a prime number
BaseRepresentation
bin110101101010111110…
…101000100010000001
312111202021211202122221
4311222332220202001
51421011110104224
642250301331041
74110052431211
oct655276504201
9174667752587
1057629378689
11224933111a3
12b203b66a81
13558558979c
142b09ac0241
1517745816e4
hexd6afa8881

57629378689 has 2 divisors, whose sum is σ = 57629378690. Its totient is φ = 57629378688.

The previous prime is 57629378623. The next prime is 57629378747. The reversal of 57629378689 is 98687392675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31131073600 + 26498305089 = 176440^2 + 162783^2 .

It is a cyclic number.

It is not a de Polignac number, because 57629378689 - 211 = 57629376641 is a prime.

It is a super-2 number, since 2×576293786892 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57629378489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28814689344 + 28814689345.

It is an arithmetic number, because the mean of its divisors is an integer number (28814689345).

Almost surely, 257629378689 is an apocalyptic number.

It is an amenable number.

57629378689 is a deficient number, since it is larger than the sum of its proper divisors (1).

57629378689 is an equidigital number, since it uses as much as digits as its factorization.

57629378689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 274337280, while the sum is 70.

The spelling of 57629378689 in words is "fifty-seven billion, six hundred twenty-nine million, three hundred seventy-eight thousand, six hundred eighty-nine".