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55534330013440 = 285109754717229
BaseRepresentation
bin11001010000010000110000…
…00000110110011100000000
321021122000210221110110221211
430220020120000312130000
524234333301440412230
6314040041412255504
714461136316360445
oct1450103000663400
9237560727413854
1055534330013440
1116770a82574283
12628ab12911594
1324cab320c7715
14d9dc397199cc
15664896d0042a
hex328218036700

55534330013440 has 144 divisors (see below), whose sum is σ = 133186092238080. Its totient is φ = 22186356408320.

The previous prime is 55534330013401. The next prime is 55534330013473. The reversal of 55534330013440 is 4431003343555.

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

It is a junction number, because it is equal to n+sod(n) for n = 55534330013393 and 55534330013402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7682155746 + ... + 7682162974.

It is an arithmetic number, because the mean of its divisors is an integer number (924903418320).

Almost surely, 255534330013440 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 55534330013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66593046119040).

55534330013440 is an abundant number, since it is smaller than the sum of its proper divisors (77651762224640).

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

55534330013440 is a wasteful number, since it uses less digits than its factorization.

55534330013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 55534330013440 its reverse (4431003343555), we get a palindrome (59965333356995).

The spelling of 55534330013440 in words is "fifty-five trillion, five hundred thirty-four billion, three hundred thirty million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1097 1280 2194 4388 5471 5485 7229 8776 10942 10970 14458 17552 21884 21940 27355 28916 35104 36145 43768 43880 54710 57832 70208 72290 87536 87760 109420 115664 140416 144580 175072 175520 218840 231328 280832 289160 350144 351040 437680 462656 578320 700288 702080 875360 925312 1156640 1400576 1404160 1750720 1850624 2313280 3501440 4626560 6001687 7002880 7930213 9253120 12003374 15860426 24006748 30008435 31720852 39549859 39651065 48013496 60016870 63441704 79099718 79302130 96026992 120033740 126883408 158199436 158604260 192053984 197749295 240067480 253766816 316398872 317208520 384107968 395498590 480134960 507533632 632797744 634417040 768215936 790997180 960269920 1015067264 1265595488 1268834080 1536431872 1581994360 1920539840 2030134528 2531190976 2537668160 3163988720 3841079680 5062381952 5075336320 6327977440 7682159360 10124763904 10150672640 12655954880 25311909760 43386195323 50623819520 86772390646 173544781292 216930976615 347089562584 433861953230 694179125168 867723906460 1388358250336 1735447812920 2776716500672 3470895625840 5553433001344 6941791251680 11106866002688 13883582503360 27767165006720 55534330013440