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505055000556 = 2232127308335831
BaseRepresentation
bin1110101100101111001…
…11111011011111101100
31210021122011002100101100
413112113213323133230
531233323040004211
61024004041243100
751326506446321
oct7262747733754
91707564070340
10505055000556
11185213421207
1281a71a93490
133881b4c5b72
141a632720b48
15d20e801156
hex75979fb7ec

505055000556 has 72 divisors (see below), whose sum is σ = 1287172583424. Its totient is φ = 166967226720.

The previous prime is 505055000533. The next prime is 505055000561. The reversal of 505055000556 is 655000550505.

505055000556 is a `hidden beast` number, since 5 + 0 + 50 + 5 + 50 + 0 + 0 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505055000556.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14077561 + ... + 14113391.

It is an arithmetic number, because the mean of its divisors is an integer number (17877396992).

Almost surely, 2505055000556 is an apocalyptic number.

It is an amenable number.

505055000556 is an abundant number, since it is smaller than the sum of its proper divisors (782117582868).

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

505055000556 is a wasteful number, since it uses less digits than its factorization.

505055000556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39051 (or 39046 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505055000556 in words is "five hundred five billion, fifty-five million, five hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 3083 4572 6166 9249 12332 18498 27747 35831 36996 55494 71662 107493 110988 143324 214986 322479 391541 429972 644958 783082 1174623 1289916 1566164 2349246 3523869 4550537 4698492 7047738 9101074 13651611 14095476 18202148 27303222 40954833 54606444 81909666 110466973 163819332 220933946 331400919 441867892 662801838 994202757 1325603676 1988405514 3976811028 14029305571 28058611142 42087916713 56117222284 84175833426 126263750139 168351666852 252527500278 505055000556