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5842424752128 = 211322473128173
BaseRepresentation
bin101010100000100101110…
…1001101110100000000000
3202200112022121220120111200
41111001023221232200000
51231210241214032003
620231550050341200
71142046506002146
oct125011351564000
922615277816450
105842424752128
111952838508478
127a437428a800
13334c27567263
14162abc33d596
15a1e953106a3
hex5504ba6e800

5842424752128 has 144 divisors (see below), whose sum is σ = 16880950309860. Its totient is φ = 1946672234496.

The previous prime is 5842424752117. The next prime is 5842424752189. The reversal of 5842424752128 is 8212574242485.

5842424752128 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 42 + 475 + 2 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4437460214784 + 1404964537344 = 2106528^2 + 1185312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45518250 + ... + 45646422.

Almost surely, 25842424752128 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 5842424752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440475154930).

5842424752128 is an abundant number, since it is smaller than the sum of its proper divisors (11038525557732).

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

5842424752128 is a wasteful number, since it uses less digits than its factorization.

5842424752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130674 (or 130651 counting only the distinct ones).

The product of its digits is 11468800, while the sum is 54.

The spelling of 5842424752128 in words is "five trillion, eight hundred forty-two billion, four hundred twenty-four million, seven hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2473 3072 4608 4946 6144 7419 9216 9892 14838 18432 19784 22257 29676 39568 44514 59352 79136 89028 118704 128173 158272 178056 237408 256346 316544 356112 384519 474816 512692 633088 712224 769038 949632 1025384 1153557 1266176 1424448 1538076 1899264 2050768 2307114 2532352 2848896 3076152 3798528 4101536 4614228 5064704 5697792 6152304 7597056 8203072 9228456 11395584 12304608 15194112 16406144 18456912 22791168 24609216 32812288 36913824 45582336 49218432 65624576 73827648 98436864 131249152 147655296 196873728 262498304 295310592 316971829 393747456 590621184 633943658 787494912 950915487 1181242368 1267887316 1901830974 2362484736 2535774632 2852746461 3803661948 5071549264 5705492922 7607323896 10143098528 11410985844 15214647792 20286197056 22821971688 30429295584 40572394112 45643943376 60858591168 81144788224 91287886752 121717182336 162289576448 182575773504 243434364672 324579152896 365151547008 486868729344 649158305792 730303094016 973737458688 1460606188032 1947474917376 2921212376064 5842424752128