Search a number
-
+
153838637569 is a prime number
BaseRepresentation
bin1000111101000101111…
…1110101001000000001
3112201002021112111200101
42033101133311020001
510010030142400234
6154401131522401
714054156562301
oct2172137651001
9481067474611
10153838637569
115a27399a3a1
12259942b9401
1311678924236
1476354dd601
154005acd814
hex23d17f5201

153838637569 has 2 divisors, whose sum is σ = 153838637570. Its totient is φ = 153838637568.

The previous prime is 153838637551. The next prime is 153838637587. The reversal of 153838637569 is 965736838351.

It is a balanced prime because it is at equal distance from previous prime (153838637551) and next prime (153838637587).

It can be written as a sum of positive squares in only one way, i.e., 122265612225 + 31573025344 = 349665^2 + 177688^2 .

It is a cyclic number.

It is not a de Polignac number, because 153838637569 - 27 = 153838637441 is a prime.

It is a super-2 number, since 2×1538386375692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153838637569.

It is not a weakly prime, because it can be changed into another prime (153838637539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76919318784 + 76919318785.

It is an arithmetic number, because the mean of its divisors is an integer number (76919318785).

Almost surely, 2153838637569 is an apocalyptic number.

It is an amenable number.

153838637569 is a deficient number, since it is larger than the sum of its proper divisors (1).

153838637569 is an equidigital number, since it uses as much as digits as its factorization.

153838637569 is an evil number, because the sum of its binary digits is even.

The product of its digits is 97977600, while the sum is 64.

The spelling of 153838637569 in words is "one hundred fifty-three billion, eight hundred thirty-eight million, six hundred thirty-seven thousand, five hundred sixty-nine".