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55320515105240 = 23571144474038949
BaseRepresentation
bin11001001010000010011111…
…01001101101000111011000
321020212120220210222202002202
430211001033221231013120
524222332403331331430
6313353521020545332
714436526635551240
oct1445011751550730
9236776823882082
1055320515105240
1116699331635080
1262555a06b2248
1324b3918934068
14d93754982b20
1565e030b09d45
hex32504fa6d1d8

55320515105240 has 128 divisors (see below), whose sum is σ = 155219756544000. Its totient is φ = 17238876295680.

The previous prime is 55320515105227. The next prime is 55320515105279. The reversal of 55320515105240 is 4250151502355.

It is a junction number, because it is equal to n+sod(n) for n = 55320515105194 and 55320515105203.

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, 11677286 + ... + 15716234.

It is an arithmetic number, because the mean of its divisors is an integer number (1212654348000).

Almost surely, 255320515105240 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 55320515105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77609878272000).

55320515105240 is an abundant number, since it is smaller than the sum of its proper divisors (99899241438760).

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

55320515105240 is a wasteful number, since it uses less digits than its factorization.

55320515105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043425 (or 4043421 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 38.

Adding to 55320515105240 its reverse (4250151502355), we get a palindrome (59570666607595).

The spelling of 55320515105240 in words is "fifty-five trillion, three hundred twenty billion, five hundred fifteen million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4447 8894 17788 22235 31129 35576 44470 48917 62258 88940 97834 124516 155645 177880 195668 244585 249032 311290 342419 391336 489170 622580 684838 978340 1245160 1369676 1712095 1956680 2739352 3424190 4038949 6848380 8077898 13696760 16155796 20194745 28272643 32311592 40389490 44428439 56545286 80778980 88856878 113090572 141363215 161557960 177713756 222142195 226181144 282726430 310999073 355427512 444284390 565452860 621998146 888568780 1130905720 1243996292 1554995365 1777137560 2487992584 3109990730 6219981460 12439962920 17961206203 35922412406 71844824812 89806031015 125728443421 143689649624 179612062030 197573268233 251456886842 359224124060 395146536466 502913773684 628642217105 718448248120 790293072932 987866341165 1005827547368 1257284434210 1383012877631 1580586145864 1975732682330 2514568868420 2766025755262 3951465364660 5029137736840 5532051510524 6915064388155 7902930729320 11064103021048 13830128776310 27660257552620 55320515105240