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1020840955560 = 23345922734147
BaseRepresentation
bin11101101101011101101…
…11001100111010101000
310121120222011100122220000
432312232313030322220
5113211140241034220
62100545020303000
7133516250644266
oct16665667147250
93546864318800
101020840955560
11363a33119308
12145a196a1a60
1375359c65aca
14375a22b9436
151b84b249390
hexedaedccea8

1020840955560 has 160 divisors (see below), whose sum is σ = 3431632232160. Its totient is φ = 272186780544.

The previous prime is 1020840955513. The next prime is 1020840955571. The reversal of 1020840955560 is 655590480201.

1020840955560 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 4 + 0 + 95 + 556 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 29878407 + ... + 29912553.

It is an arithmetic number, because the mean of its divisors is an integer number (21447701451).

Almost surely, 21020840955560 is an apocalyptic number.

1020840955560 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 1020840955560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715816116080).

1020840955560 is an abundant number, since it is smaller than the sum of its proper divisors (2410791276600).

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

1020840955560 is a wasteful number, since it uses less digits than its factorization.

1020840955560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43397 (or 43384 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1020840955560 in words is "one trillion, twenty billion, eight hundred forty million, nine hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 9227 18454 27681 34147 36908 46135 55362 68294 73816 83043 92270 102441 110724 136588 138405 166086 170735 184540 204882 221448 249129 273176 276810 307323 332172 341470 369080 409764 415215 498258 512205 553620 614646 664344 682940 747387 819528 830430 921969 996516 1024410 1107240 1229292 1245645 1365880 1494774 1536615 1660860 1843938 1993032 2048820 2458584 2491290 2765907 2989548 3073230 3321720 3687876 3736935 4097640 4609845 4982580 5531814 5979096 6146460 7375752 7473870 9219690 9965160 11063628 12292920 13829535 14947740 18439380 22127256 27659070 29895480 36878760 55318140 110636280 315074369 630148738 945223107 1260297476 1575371845 1890446214 2520594952 2835669321 3150743690 3780892428 4726115535 5671338642 6301487380 7561784856 8507007963 9452231070 11342677284 12602974760 14178346605 17014015926 18904462140 22685354568 25521023889 28356693210 34028031852 37808924280 42535039815 51042047778 56713386420 68056063704 85070079630 102084095556 113426772840 127605119445 170140159260 204168191112 255210238890 340280318520 510420477780 1020840955560