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12705483780 = 223251123926849
BaseRepresentation
bin10111101010100111…
…00100110000000100
31012210110121110011100
423311103210300010
5202010100440110
65500430340100
7626565554523
oct136523446004
935713543140
1012705483780
11542aa07020
12256705a630
131276373c52
148875c24ba
154e5677bc0
hex2f54e4c04

12705483780 has 144 divisors (see below), whose sum is σ = 42221088000. Its totient is φ = 3067115520.

The previous prime is 12705483731. The next prime is 12705483803. The reversal of 12705483780 is 8738450721.

12705483780 is a `hidden beast` number, since 1 + 2 + 70 + 548 + 37 + 8 + 0 = 666.

It is a super-2 number, since 2×127054837802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459796 + ... + 486644.

It is an arithmetic number, because the mean of its divisors is an integer number (293202000).

Almost surely, 212705483780 is an apocalyptic number.

12705483780 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 12705483780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110544000).

12705483780 is an abundant number, since it is smaller than the sum of its proper divisors (29515604220).

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

12705483780 is a wasteful number, since it uses less digits than its factorization.

12705483780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27114 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12705483780 in words is "twelve billion, seven hundred five million, four hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 239 330 396 478 495 660 717 956 990 1195 1434 1980 2151 2390 2629 2868 3585 4302 4780 5258 7170 7887 8604 10516 10755 13145 14340 15774 21510 23661 26290 26849 31548 39435 43020 47322 52580 53698 78870 80547 94644 107396 118305 134245 157740 161094 236610 241641 268490 295339 322188 402735 473220 483282 536980 590678 805470 886017 966564 1181356 1208205 1476695 1610940 1772034 2416410 2658051 2953390 3544068 4430085 4832820 5316102 5906780 6416911 8860170 10632204 12833822 13290255 17720340 19250733 25667644 26580510 32084555 38501466 53161020 57752199 64169110 70586021 77002932 96253665 115504398 128338220 141172042 192507330 211758063 231008796 282344084 288760995 352930105 385014660 423516126 577521990 635274189 705860210 847032252 1058790315 1155043980 1270548378 1411720420 2117580630 2541096756 3176370945 4235161260 6352741890 12705483780