Search a number
-
+
959589918081 = 32106621102009
BaseRepresentation
bin11011111011011000000…
…01000010010110000001
310101201212110201120100100
431331230001002112001
5111210220004334311
62012455102113013
7126220350503064
oct15755401022601
93351773646310
10959589918081
1133aa61546283
12135b8487b769
136c648284a72
143463160c8db
1519e63c78a56
hexdf6c042581

959589918081 has 6 divisors (see below), whose sum is σ = 1386074326130. Its totient is φ = 639726612048.

The previous prime is 959589918059. The next prime is 959589918103. The reversal of 959589918081 is 180819985959.

It is an interprime number because it is at equal distance from previous prime (959589918059) and next prime (959589918103).

It can be written as a sum of positive squares in only one way, i.e., 861360329025 + 98229589056 = 928095^2 + 313416^2 .

It is not a de Polignac number, because 959589918081 - 27 = 959589917953 is a prime.

It is a super-2 number, since 2×9595899180812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (959589918011) 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 in 5 ways as a sum of consecutive naturals, for example, 53310550996 + ... + 53310551013.

Almost surely, 2959589918081 is an apocalyptic number.

It is an amenable number.

959589918081 is a deficient number, since it is larger than the sum of its proper divisors (426484408049).

959589918081 is a wasteful number, since it uses less digits than its factorization.

959589918081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106621102015 (or 106621102012 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 72.

The spelling of 959589918081 in words is "nine hundred fifty-nine billion, five hundred eighty-nine million, nine hundred eighteen thousand, eighty-one".

Divisors: 1 3 9 106621102009 319863306027 959589918081