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555055105056 = 25371241337901
BaseRepresentation
bin10000001001110111101…
…11001100010000100000
31222001200202002211100120
420010323313030100200
533043223101330211
61102553325120240
755046532355614
oct10047367142040
91861622084316
10555055105056
111a4441155821
128b6a69b9080
13404592a130a
141cc1707b344
15e6891b6d06
hex813bdcc420

555055105056 has 96 divisors (see below), whose sum is σ = 1483676320896. Its totient is φ = 181655040000.

The previous prime is 555055105021. The next prime is 555055105063. The reversal of 555055105056 is 650501550555.

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

It is a junction number, because it is equal to n+sod(n) for n = 555055104999 and 555055105017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473706 + ... + 1811606.

It is an arithmetic number, because the mean of its divisors is an integer number (15454961676).

Almost surely, 2555055105056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555055105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741838160448).

555055105056 is an abundant number, since it is smaller than the sum of its proper divisors (928621215840).

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

555055105056 is a wasteful number, since it uses less digits than its factorization.

555055105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338226 (or 338218 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 42.

The spelling of 555055105056 in words is "five hundred fifty-five billion, fifty-five million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 241 284 426 482 568 723 852 964 1136 1446 1704 1928 2272 2892 3408 3856 5784 6816 7712 11568 17111 23136 34222 51333 68444 102666 136888 205332 273776 337901 410664 547552 675802 821328 1013703 1351604 1642656 2027406 2703208 4054812 5406416 8109624 10812832 16219248 23990971 32438496 47981942 71972913 81434141 95963884 143945826 162868282 191927768 244302423 287891652 325736564 383855536 488604846 575783304 651473128 767711072 977209692 1151566608 1302946256 1954419384 2303133216 2605892512 3908838768 5781824011 7817677536 11563648022 17345472033 23127296044 34690944066 46254592088 69381888132 92509184176 138763776264 185018368352 277527552528 555055105056