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5455376875136 = 27713078112411
BaseRepresentation
bin100111101100010110111…
…0011001111111010000000
3201022112021121001020002102
41033120231303033322000
51203340102440001021
615334055431205532
71102065216222536
oct117305563177200
921275247036072
105455376875136
11181368102a871
127413568168a8
13307594406936
1414c082402156
1596d90a5d00b
hex4f62dccfe80

5455376875136 has 128 divisors (see below), whose sum is σ = 11075331294720. Its totient is φ = 2676094848000.

The previous prime is 5455376875103. The next prime is 5455376875153. The reversal of 5455376875136 is 6315786735545.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54553768751362 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262701771 + ... + 2262704181.

It is an arithmetic number, because the mean of its divisors is an integer number (86526025740).

Almost surely, 25455376875136 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 5455376875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537665647360).

5455376875136 is an abundant number, since it is smaller than the sum of its proper divisors (5619954419584).

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

5455376875136 is a wasteful number, since it uses less digits than its factorization.

5455376875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3602 counting only the distinct ones).

The product of its digits is 317520000, while the sum is 65.

The spelling of 5455376875136 in words is "five trillion, four hundred fifty-five billion, three hundred seventy-six million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 307 568 614 811 1136 1228 1622 2272 2411 2456 3244 4544 4822 4912 6488 9088 9644 9824 12976 19288 19648 21797 25952 38576 39296 43594 51904 57581 77152 87188 103808 115162 154304 171181 174376 230324 248977 308608 342362 348752 460648 497954 684724 697504 740177 921296 995908 1369448 1395008 1480354 1842592 1955321 1991816 2738896 2790016 2960708 3685184 3910642 3983632 5477792 5921416 7370368 7821284 7967264 10955584 11842832 15642568 15934528 17677367 21911168 23685664 31285136 31869056 35354734 47371328 52552567 62570272 70709468 94742656 105105134 125140544 138827791 141418936 210210268 250281088 277655582 282837872 420420536 555311164 565675744 600283547 840841072 1110622328 1131351488 1200567094 1681682144 2221244656 2262702976 2401134188 3363364288 4442489312 4802268376 6726728576 8884978624 9604536752 17769957248 19209073504 38418147008 42620131837 76836294016 85240263674 170480527348 340961054696 681922109392 1363844218784 2727688437568 5455376875136