Search a number
-
+
296004547969 = 132418512
BaseRepresentation
bin1000100111010110011…
…11101111010110000001
31001022001001210000221021
410103223033233112001
514322204131013334
6343552124425441
730246161100214
oct4235317572601
91038031700837
10296004547969
1110459793a029
124944b3a8281
1321bb4140300
141048065377b
157a76a363b4
hex44eb3ef581

296004547969 has 9 divisors (see below), whose sum is σ = 320533293699. Its totient is φ = 273228438600.

The previous prime is 296004547871. The next prime is 296004548023. The reversal of 296004547969 is 969745400692.

The square root of 296004547969 is 544063.

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., 43787655025 + 252216892944 = 209255^2 + 502212^2 .

It is not a de Polignac number, because 296004547969 - 29 = 296004547457 is a prime.

It is a super-2 number, since 2×2960045479692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (296004547669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7051894 + ... + 7093744.

It is an arithmetic number, because the mean of its divisors is an integer number (35614810411).

Almost surely, 2296004547969 is an apocalyptic number.

296004547969 is the 544063-rd square number.

296004547969 is the 272032-nd centered octagonal number.

It is an amenable number.

296004547969 is a deficient number, since it is larger than the sum of its proper divisors (24528745730).

296004547969 is an frugal number, since it uses more digits than its factorization.

296004547969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83728 (or 41864 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 296004547969 in words is "two hundred ninety-six billion, four million, five hundred forty-seven thousand, nine hundred sixty-nine".

Divisors: 1 13 169 41851 544063 7072819 1751506201 22769580613 296004547969