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5354232335320 = 2351189443308639
BaseRepresentation
bin100110111101010000100…
…0111011100101111011000
3200221212012122202020101011
41031322201013130233120
51200210431434212240
615215411140503304
71061554603634341
oct115724107345730
920855178666334
105354232335320
111784798628aa0
127258296aab34
132cab957504cb
1414720936b0c8
15944210e06ea
hex4dea11dcbd8

5354232335320 has 128 divisors (see below), whose sum is σ = 13319914752000. Its totient is φ = 1920765383680.

The previous prime is 5354232335303. The next prime is 5354232335377. The reversal of 5354232335320 is 235332324535.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17193561 + ... + 17502199.

It is an arithmetic number, because the mean of its divisors is an integer number (104061834000).

Almost surely, 25354232335320 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 5354232335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659957376000).

5354232335320 is an abundant number, since it is smaller than the sum of its proper divisors (7965682416680).

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

5354232335320 is a wasteful number, since it uses less digits than its factorization.

5354232335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309193 (or 309189 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 40.

Adding to 5354232335320 its reverse (235332324535), we get a palindrome (5589564659855).

The spelling of 5354232335320 in words is "five trillion, three hundred fifty-four billion, two hundred thirty-two million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 443 445 712 886 890 979 1772 1780 1958 2215 3544 3560 3916 4430 4873 4895 7832 8860 9746 9790 17720 19492 19580 24365 38984 39160 39427 48730 78854 97460 157708 194920 197135 308639 315416 394270 433697 617278 788540 867394 1234556 1543195 1577080 1734788 2168485 2469112 3086390 3395029 3469576 4336970 6172780 6790058 8673940 12345560 13580116 16975145 17347880 27160232 27468871 33950290 54937742 67900580 109875484 135801160 136727077 137344355 219750968 273454154 274688710 302157581 546908308 549377420 604315162 683635385 1093816616 1098754840 1208630324 1367270770 1503997847 1510787905 2417260648 2734541540 3007995694 3021575810 5469083080 6015991388 6043151620 7519989235 12031982776 12086303240 12168709853 15039978470 24337419706 30079956940 48674839412 60159913880 60843549265 97349678824 121687098530 133855808383 243374197060 267711616766 486748394120 535423233532 669279041915 1070846467064 1338558083830 2677116167660 5354232335320