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405066056704 = 210198892
BaseRepresentation
bin1011110010011111101…
…00011000010000000000
31102201112202020201022121
411321033310120100000
523114033402303304
6510030151214024
741156625446431
oct5711764302000
91381482221277
10405066056704
11146873257821
1266607977314
132c27508792a
1415868d3b488
15a80b54c554
hex5e4fd18400

405066056704 has 33 divisors (see below), whose sum is σ = 809777255917. Its totient is φ = 202522845184.

The previous prime is 405066056587. The next prime is 405066056729. The reversal of 405066056704 is 407650660504.

It is a happy number.

The square root of 405066056704 is 636448.

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., 381864674304 + 23201382400 = 617952^2 + 152320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20356392 + ... + 20376280.

Almost surely, 2405066056704 is an apocalyptic number.

405066056704 is the 636448-th square number.

It is an amenable number.

405066056704 is a deficient number, since it is larger than the sum of its proper divisors (404711199213).

405066056704 is an frugal number, since it uses more digits than its factorization.

405066056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39798 (or 19891 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 405066056704 in words is "four hundred five billion, sixty-six million, fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 19889 39778 79556 159112 318224 636448 1272896 2545792 5091584 10183168 20366336 395572321 791144642 1582289284 3164578568 6329157136 12658314272 25316628544 50633257088 101266514176 202533028352 405066056704