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12555350300240 = 2451134962296563
BaseRepresentation
bin1011011010110100010100…
…1100011101011001010000
31122110021112221122101210222
42312231011030131121100
53121201324134101430
642411503122212212
72434044166456526
oct266550514353120
948407487571728
1012555350300240
11400076aa22090
1214a93894b4068
13700c6cb989b7
14315979d3c316
1516b8d7e979e5
hexb6b4531d650

12555350300240 has 160 divisors (see below), whose sum is σ = 31946174064000. Its totient is φ = 4551075624960.

The previous prime is 12555350300239. The next prime is 12555350300351. The reversal of 12555350300240 is 4200305355521.

It is a self number, because there is not a number n which added to its sum of digits gives 12555350300240.

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, 1913047199 + ... + 1913053761.

It is an arithmetic number, because the mean of its divisors is an integer number (199663587900).

Almost surely, 212555350300240 is an apocalyptic number.

12555350300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12555350300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973087032000).

12555350300240 is an abundant number, since it is smaller than the sum of its proper divisors (19390823763760).

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

12555350300240 is a wasteful number, since it uses less digits than its factorization.

12555350300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13159 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 12555350300240 its reverse (4200305355521), we get a palindrome (16755655655761).

The spelling of 12555350300240 in words is "twelve trillion, five hundred fifty-five billion, three hundred fifty million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 349 440 698 880 1396 1745 2792 3490 3839 5584 6229 6563 6980 7678 12458 13126 13960 15356 19195 24916 26252 27920 30712 31145 32815 38390 49832 52504 61424 62290 65630 68519 72193 76780 99664 105008 124580 131260 137038 144386 153560 249160 262520 274076 288772 307120 342595 360965 498320 525040 548152 577544 685190 721930 1096304 1155088 1370380 1443860 2173921 2290487 2740760 2887720 4347842 4580974 5481520 5775440 8695684 9161948 10869605 11452435 17391368 18323896 21739210 22904870 23913131 25195357 34782736 36647792 40880927 43478420 45809740 47826262 50390714 81761854 86956840 91619480 95652524 100781428 119565655 125976785 163523708 173913680 183238960 191305048 201562856 204404635 239131310 251953570 327047416 382610096 403125712 408809270 449690197 478262620 503907140 654094832 817618540 899380394 956525240 1007814280 1635237080 1798760788 1913050480 2015628560 2248450985 3270474160 3597521576 4496901970 7195043152 8993803940 14267443523 17987607880 28534887046 35975215760 57069774092 71337217615 114139548184 142674435230 156941878753 228279096368 285348870460 313883757506 570697740920 627767515012 784709393765 1141395481840 1255535030024 1569418787530 2511070060048 3138837575060 6277675150120 12555350300240