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55555555561056 = 253371905639599
BaseRepresentation
bin11001010000111000010010…
…01001111000111001100000
321021201001121012002000111000
430220130021021320321200
524240210234210423211
6314053511521352000
714462520312505455
oct1450341111707140
9237631535060430
1055555555561056
1116779a84869371
126293057198600
1324ccb35670055
14da0c906a182c
156651da451656
hex328709278e60

55555555561056 has 96 divisors (see below), whose sum is σ = 164319249024000. Its totient is φ = 18257694295680.

The previous prime is 55555555561039. The next prime is 55555555561091. The reversal of 55555555561056 is 65016555555555.

55555555561056 is a `hidden beast` number, since 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×555555555610563 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55555555560984 and 55555555561002.

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 15 ways as a sum of consecutive naturals, for example, 452758456 + ... + 452881143.

It is an arithmetic number, because the mean of its divisors is an integer number (1711658844000).

Almost surely, 255555555561056 is an apocalyptic number.

It is an amenable number.

55555555561056 is an abundant number, since it is smaller than the sum of its proper divisors (108763693462944).

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

55555555561056 is a wasteful number, since it uses less digits than its factorization.

55555555561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905639689 (or 905639675 counting only the distinct ones).

The product of its (nonzero) digits is 351562500, while the sum is 63.

The spelling of 55555555561056 in words is "fifty-five trillion, five hundred fifty-five billion, five hundred fifty-five million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 905639599 1811279198 2716918797 3622558396 5433837594 7245116792 8150756391 10867675188 14490233584 16301512782 21735350376 24452269173 28980467168 32603025564 43470700752 48904538346 64300411529 65206051128 86941401504 97809076692 128600823058 130412102256 192901234587 195618153384 257201646116 260824204512 385802469174 391236306768 514403292232 578703703761 771604938348 782472613536 1028806584464 1157407407522 1543209876696 1736111111283 2057613168928 2314814815044 3086419753392 3472222222566 4629629630088 6172839506784 6944444445132 9259259260176 13888888890264 18518518520352 27777777780528 55555555561056