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55050589950640 = 2457145773328933
BaseRepresentation
bin11001000010001011101101…
…10110111101001010110000
321012220210012021012011022121
430201011312312331022300
524203422102011410030
6313025520352044024
714411162636601604
oct1441056666751260
9235823167164277
1055050589950640
11165a4907952309
12621120b233614
13249432c84467b
14d84669bad504
15656ed390b47a
hex321176dbd2b0

55050589950640 has 160 divisors (see below), whose sum is σ = 130261314278016. Its totient is φ = 21632285122560.

The previous prime is 55050589950637. The next prime is 55050589950667. The reversal of 55050589950640 is 4605998505055.

55050589950640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×550505899506403 (a number of 42 digits) contains 333 as substring.

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, 1902677614 + ... + 1902706546.

Almost surely, 255050589950640 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 55050589950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65130657139008).

55050589950640 is an abundant number, since it is smaller than the sum of its proper divisors (75210724327376).

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

55050589950640 is a wasteful number, since it uses less digits than its factorization.

55050589950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30207 (or 30201 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 61.

The spelling of 55050589950640 in words is "fifty-five trillion, fifty billion, five hundred eighty-nine million, nine hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 457 568 710 733 914 1136 1420 1466 1828 2285 2840 2932 3656 3665 4570 5680 5864 7312 7330 9140 11728 14660 18280 28933 29320 32447 36560 52043 57866 58640 64894 104086 115732 129788 144665 162235 208172 231464 259576 260215 289330 324470 334981 416344 462928 519152 520430 578660 648940 669962 832688 1040860 1157320 1297880 1339924 1674905 2054243 2081720 2314640 2595760 2679848 3349810 4108486 4163440 5359696 6699620 8216972 10271215 13222381 13399240 16433944 20542430 21207889 23783651 26444762 26798480 32867888 41084860 42415778 47567302 52889524 66111905 82169720 84831556 95134604 105779048 106039445 118918255 132223810 164339440 169663112 190269208 211558096 212078890 237836510 264447620 339326224 380538416 424157780 475673020 528895240 848315560 938789051 951346040 1057790480 1505760119 1696631120 1877578102 1902692080 3011520238 3755156204 4693945255 6023040476 7510312408 7528800595 9387890510 9692005273 12046080952 15020624816 15057601190 18775781020 19384010546 24092161904 30115202380 37551562040 38768021092 48460026365 60230404760 75103124080 77536042184 96920052730 120460809520 155072084368 193840105460 387680210920 688132374383 775360421840 1376264748766 2752529497532 3440661871915 5505058995064 6881323743830 11010117990128 13762647487660 27525294975320 55050589950640