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540225004365 = 335103162723879
BaseRepresentation
bin1111101110001111110…
…10110110001101001101
31220122102012122122201000
413313013322312031031
532322340100114430
61052102000410513
754013164525504
oct7670772661515
91818365578630
10540225004365
11199120a27662
1288848316a39
133bc34a007c7
141c20b64183b
15e0bc262e60
hex7dc7eb634d

540225004365 has 64 divisors (see below), whose sum is σ = 970360934400. Its totient is φ = 285135412032.

The previous prime is 540225004339. The next prime is 540225004469. The reversal of 540225004365 is 563400522045.

540225004365 is a `hidden beast` number, since 5 + 40 + 2 + 250 + 0 + 4 + 365 = 666.

It is not a de Polignac number, because 540225004365 - 216 = 540224938829 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22611496 + ... + 22635374.

It is an arithmetic number, because the mean of its divisors is an integer number (15161889600).

Almost surely, 2540225004365 is an apocalyptic number.

It is an amenable number.

540225004365 is a deficient number, since it is larger than the sum of its proper divisors (430135930035).

540225004365 is a wasteful number, since it uses less digits than its factorization.

540225004365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25623 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 540225004365 in words is "five hundred forty billion, two hundred twenty-five million, four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 103 135 309 515 927 1545 1627 2781 4635 4881 8135 13905 14643 23879 24405 43929 71637 73215 119395 167581 214911 219645 358185 502743 644733 837905 1074555 1508229 2459537 2513715 3223665 4524687 7378611 7541145 12297685 22135833 22623435 36893055 38851133 66407499 110679165 116553399 194255665 332037495 349660197 582766995 1048980591 1748300985 4001666699 5244902955 12005000097 20008333495 36015000291 60025000485 108045000873 180075001455 540225004365