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5601057111312 = 2431373269457099
BaseRepresentation
bin101000110000001100100…
…0001001111110100010000
3201211110022022010000000020
41101200121001033310100
51213231431110030222
615525031244223440
71115443262624265
oct121403101176420
921743268100006
105601057111312
11186a4387a1473
1276563283ab80
1331823ca36b10
141551421a326c
159aa6a2a265c
hex5181904fd10

5601057111312 has 160 divisors (see below), whose sum is σ = 15854641488000. Its totient is φ = 1693471297536.

The previous prime is 5601057111163. The next prime is 5601057111371. The reversal of 5601057111312 is 2131117501065.

It is a super-2 number, since 2×56010571113122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12024939 + ... + 12482037.

It is an arithmetic number, because the mean of its divisors is an integer number (99091509300).

Almost surely, 25601057111312 is an apocalyptic number.

5601057111312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601057111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927320744000).

5601057111312 is an abundant number, since it is smaller than the sum of its proper divisors (10253584376688).

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

5601057111312 is a wasteful number, since it uses less digits than its factorization.

5601057111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457465 (or 457459 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 5601057111312 in words is "five trillion, six hundred one billion, fifty-seven million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 269 292 312 438 538 584 624 807 876 949 1076 1168 1614 1752 1898 2152 2847 3228 3497 3504 3796 4304 5694 6456 6994 7592 10491 11388 12912 13988 15184 19637 20982 22776 27976 39274 41964 45552 55952 58911 78548 83928 117822 157096 167856 235644 255281 314192 457099 471288 510562 765843 914198 942576 1021124 1371297 1531686 1828396 2042248 2742594 3063372 3656792 4084496 5485188 5942287 6126744 7313584 10970376 11884574 12253488 17826861 21940752 23769148 33368227 35653722 47538296 66736454 71307444 95076592 100104681 122959631 133472908 142614888 200209362 245919262 266945816 285229776 368878893 400418724 433786951 491838524 533891632 737757786 800837448 867573902 983677048 1301360853 1475515572 1598475203 1601674896 1735147804 1967354096 2602721706 2951031144 3196950406 3470295608 4795425609 5205443412 5902062288 6393900812 6940591216 8976053063 9590851218 10410886824 12787801624 17952106126 19181702436 20821773648 25575603248 26928159189 35904212252 38363404872 53856318378 71808424504 76726809744 107712636756 116688689819 143616849008 215425273512 233377379638 350066069457 430850547024 466754759276 700132138914 933509518552 1400264277828 1867019037104 2800528555656 5601057111312