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3064145955408 = 243273329029729
BaseRepresentation
bin101100100101101101010…
…101001100101001010000
3101211221002121012102211100
4230211231111030221100
5400200332331033113
610303352121544400
7434243251611246
oct54455525145120
911757077172740
103064145955408
11a8155156746a
12415a28345100
13192c421c2735
14a843c254796
1554a8ae4cd73
hex2c96d54ca50

3064145955408 has 60 divisors (see below), whose sum is σ = 8587052193460. Its totient is φ = 1019988523008.

The previous prime is 3064145955397. The next prime is 3064145955413. The reversal of 3064145955408 is 8045595414603.

3064145955408 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 1 + 4 + 5 + 95 + 540 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2839117161024 + 225028794384 = 1684968^2 + 474372^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14409313 + ... + 14620416.

Almost surely, 23064145955408 is an apocalyptic number.

It is an amenable number.

3064145955408 is an abundant number, since it is smaller than the sum of its proper divisors (5522906238052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3064145955408 is a wasteful number, since it uses less digits than its factorization.

3064145955408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29030476 (or 29030467 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 3064145955408 in words is "three trillion, sixty-four billion, one hundred forty-five million, nine hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 26388 35184 52776 105552 29029729 58059458 87089187 116118916 174178374 232237832 261267561 348356748 464475664 522535122 696713496 1045070244 1393426992 2090140488 4180280976 21278791357 42557582714 63836374071 85115165428 127672748142 170230330856 191509122213 255345496284 340460661712 383018244426 510690992568 766036488852 1021381985136 1532072977704 3064145955408