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330122640969 = 321122327572
BaseRepresentation
bin1001100110111001101…
…01111011111001001001
31011120002210222201220100
410303130311323321021
520402042344002334
6411353425520013
732564514102132
oct4633465737111
91146083881810
10330122640969
11118005696300
1253b914a3009
1325190733a14
1411d99992c89
1588c1e60c99
hex4cdcd7be49

330122640969 has 81 divisors (see below), whose sum is σ = 548638103559. Its totient is φ = 191122636320.

The previous prime is 330122640893. The next prime is 330122641021. The reversal of 330122640969 is 969046221033.

The square root of 330122640969 is 574563.

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

330122640969 is a `hidden beast` number, since 330 + 1 + 226 + 4 + 0 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203947076025 + 126175564944 = 451605^2 + 355212^2 .

It is not a de Polignac number, because 330122640969 - 217 = 330122509897 is a prime.

It is a super-2 number, since 2×3301226409692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330122640269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 436092939 + ... + 436093695.

Almost surely, 2330122640969 is an apocalyptic number.

330122640969 is the 574563-rd square number.

330122640969 is the 287282-nd centered octagonal number.

It is an amenable number.

330122640969 is a deficient number, since it is larger than the sum of its proper divisors (218515462590).

330122640969 is an equidigital number, since it uses as much as digits as its factorization.

330122640969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 330122640969 in words is "three hundred thirty billion, one hundred twenty-two million, six hundred forty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 757 759 1089 1587 2271 2277 2783 4761 5819 6813 8327 8349 17411 17457 24981 25047 52233 52371 64009 74943 91597 156699 191521 192027 274791 400453 573049 574563 576081 824373 1201359 1719147 1723689 2106731 3604077 4404983 5157441 6303539 6320193 13180127 13214949 18910617 18960579 39540381 39644847 48454813 56731851 69338929 118621143 144981397 145364439 208016787 303142921 434944191 436093317 624050361 909428763 1304832573 1594795367 2728286289 3334572131 4784386101 10003716393 14353158303 30011149179 36680293441 110040880323 330122640969