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5557294653168 = 2431973641130223
BaseRepresentation
bin101000011011110100010…
…0100101101111011110000
3201200021100102022210020010
41100313220210231323300
51212022314412400133
615452552543014520
71112333641103616
oct120675044557360
921607312283203
105557294653168
111852920a53995
1275905a89a440
13314087332b7b
14152d900376b6
1599858318263
hex50de892def0

5557294653168 has 160 divisors (see below), whose sum is σ = 15342970844160. Its totient is φ = 1728181370880.

The previous prime is 5557294653077. The next prime is 5557294653179. The reversal of 5557294653168 is 8613564927555.

It is a junction number, because it is equal to n+sod(n) for n = 5557294653099 and 5557294653108.

It is a congruent number.

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, 42610105 + ... + 42740327.

It is an arithmetic number, because the mean of its divisors is an integer number (95893567776).

Almost surely, 25557294653168 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 5557294653168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671485422080).

5557294653168 is an abundant number, since it is smaller than the sum of its proper divisors (9785676190992).

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

5557294653168 is a wasteful number, since it uses less digits than its factorization.

5557294653168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130967 (or 130961 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 66.

The spelling of 5557294653168 in words is "five trillion, five hundred fifty-seven billion, two hundred ninety-four million, six hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 641 876 912 1168 1282 1387 1752 1923 2564 2774 3504 3846 4161 5128 5548 7692 8322 10256 11096 12179 15384 16644 22192 24358 30768 33288 36537 46793 48716 66576 73074 93586 97432 130223 140379 146148 187172 194864 260446 280758 292296 374344 390669 520892 561516 584592 748688 781338 889067 1041784 1123032 1562676 1778134 2083568 2246064 2474237 2667201 3125352 3556268 4948474 5334402 6250704 7112536 7422711 9506279 9896948 10668804 14225072 14845422 19012558 19793896 21337608 28518837 29690844 38025116 39587792 42675216 57037674 59381688 76050232 83472943 114075348 118763376 152100464 166945886 180619301 228150696 250418829 333891772 361238602 456301392 500837658 541857903 667783544 722477204 1001675316 1083715806 1335567088 1444954408 1585985917 2003350632 2167431612 2889908816 3171971834 4006701264 4334863224 4757957751 6093524839 6343943668 8669726448 9515915502 12187049678 12687887336 18280574517 19031831004 24374099356 25375774672 36561149034 38063662008 48748198712 73122298068 76127324016 97496397424 115776971941 146244596136 231553943882 292489192272 347330915823 463107887764 694661831646 926215775528 1389323663292 1852431551056 2778647326584 5557294653168