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968018769 = 3434572
BaseRepresentation
bin111001101100101…
…100101101010001
32111110111110010000
4321230230231101
53440303100034
6240020000213
732663011104
oct7154545521
92443443100
10968018769
1145746a913
12230230069
13125720493
14927c473b
1559eb5599
hex39b2cb51

968018769 has 15 divisors (see below), whose sum is σ = 1446471147. Its totient is φ = 645159168.

The previous prime is 968018767. The next prime is 968018773. The reversal of 968018769 is 967810869.

The square root of 968018769 is 31113.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13950225 + 954068544 = 3735^2 + 30888^2 .

It is not a de Polignac number, because 968018769 - 21 = 968018767 is a prime.

It is a super-2 number, since 2×9680187692 = 1874120674272550722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (968018761) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 278289 + ... + 281745.

Almost surely, 2968018769 is an apocalyptic number.

968018769 is the 31113-rd square number.

968018769 is the 15557-th centered octagonal number.

It is an amenable number.

968018769 is a deficient number, since it is larger than the sum of its proper divisors (478452378).

968018769 is an frugal number, since it uses more digits than its factorization.

968018769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The cubic root of 968018769 is about 989.2238820737.

It can be divided in two parts, 96801 and 8769, that added together give a triangular number (105570 = T459).

The spelling of 968018769 in words is "nine hundred sixty-eight million, eighteen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 3457 10371 31113 93339 280017 11950849 35852547 107557641 322672923 968018769