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6961065489 = 32722921372
BaseRepresentation
bin1100111101110100…
…10110111000010001
3122222010110202200100
412132322112320101
5103224013043424
63110423443013
7334334036400
oct63672267021
918863422610
106961065489
112a52381594
1214232b6469
1386c223381
144a0703637
152ab1c7dc9
hex19ee96e11

6961065489 has 81 divisors (see below), whose sum is σ = 12202785777. Its totient is φ = 3812554368.

The previous prime is 6961065457. The next prime is 6961065493. The reversal of 6961065489 is 9845601696.

It is a happy number.

The square root of 6961065489 is 83433.

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

6961065489 is a `hidden beast` number, since 6 + 96 + 1 + 0 + 6 + 548 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87329025 + 6873736464 = 9345^2 + 82908^2 .

It is not a de Polignac number, because 6961065489 - 25 = 6961065457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6961064489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50810629 + ... + 50810765.

Almost surely, 26961065489 is an apocalyptic number.

6961065489 is the 83433-rd square number.

6961065489 is the 41717-th centered octagonal number.

It is an amenable number.

6961065489 is a deficient number, since it is larger than the sum of its proper divisors (5241720288).

6961065489 is a wasteful number, since it uses less digits than its factorization.

6961065489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 6961065489 is about 1909.3779658957.

The spelling of 6961065489 in words is "six billion, nine hundred sixty-one million, sixty-five thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 29 49 63 87 137 147 203 261 411 441 609 841 959 1233 1421 1827 2523 2877 3973 4263 5887 6713 7569 8631 11919 12789 17661 18769 20139 27811 35757 41209 52983 56307 60417 83433 115217 123627 131383 168921 194677 250299 345651 370881 394149 544301 584031 806519 919681 1036953 1182447 1632903 1752093 2419557 2759043 3810107 4898709 5645633 7258671 8277129 11430321 15784729 16936899 26670749 34290963 47354187 50810697 80012247 110493103 142062561 240036741 331479309 773451721 994437927 2320355163 6961065489