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551080458144 = 253241431085351
BaseRepresentation
bin10000000010011101111…
…01000111011110100000
31221200102202002211210200
420001032331013132200
533012103044130034
61101055102425200
754546200415006
oct10011675073640
91850382084720
10551080458144
111a2791608767
128a977892200
133cc749b8738
141c95b246a76
15e50529da99
hex804ef477a0

551080458144 has 144 divisors (see below), whose sum is σ = 1642693276224. Its totient is φ = 175045248000.

The previous prime is 551080458127. The next prime is 551080458167. The reversal of 551080458144 is 441854080155.

551080458144 is a `hidden beast` number, since 5 + 51 + 0 + 8 + 0 + 458 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 551080458144.

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, 34932 + ... + 1050419.

It is an arithmetic number, because the mean of its divisors is an integer number (11407592196).

Almost surely, 2551080458144 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 551080458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821346638112).

551080458144 is an abundant number, since it is smaller than the sum of its proper divisors (1091612818080).

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

551080458144 is a wasteful number, since it uses less digits than its factorization.

551080458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085451 (or 1085440 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 551080458144 in words is "five hundred fifty-one billion, eighty million, four hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 43 48 72 82 86 96 123 129 144 164 172 246 258 288 328 344 369 387 492 516 656 688 738 774 984 1032 1312 1376 1476 1548 1763 1968 2064 2952 3096 3526 3936 4128 5289 5904 6192 7052 10578 11808 12384 14104 15867 21156 28208 31734 42312 56416 63468 84624 126936 169248 253872 507744 1085351 2170702 3256053 4341404 6512106 8682808 9768159 13024212 17365616 19536318 26048424 34731232 39072636 44499391 46670093 52096848 78145272 88998782 93340186 104193696 133498173 140010279 156290544 177997564 186680372 266996346 280020558 312581088 355995128 373360744 400494519 420030837 533992692 560041116 711990256 746721488 800989038 840061674 1067985384 1120082232 1423980512 1493442976 1601978076 1680123348 1913473813 2135970768 2240164464 3203956152 3360246696 3826947626 4271941536 4480328928 5740421439 6407912304 6720493392 7653895252 11480842878 12815824608 13440986784 15307790504 17221264317 22961685756 30615581008 34442528634 45923371512 61231162016 68885057268 91846743024 137770114536 183693486048 275540229072 551080458144