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168001709040 = 24335117070779
BaseRepresentation
bin1001110001110110101…
…1101010001111110000
3121001122022212002021000
42130131223222033300
510223031414142130
6205102351402000
715065144651664
oct2343553521760
9531568762230
10168001709040
1165281648640
1228687523300
1312ac4c5a8b9
1481ba5048a4
1545841c4260
hex271daea3f0

168001709040 has 160 divisors (see below), whose sum is σ = 631279238400. Its totient is φ = 40727681280.

The previous prime is 168001709023. The next prime is 168001709069. The reversal of 168001709040 is 40907100861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 168001708986 and 168001709004.

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, 3511630 + ... + 3559149.

It is an arithmetic number, because the mean of its divisors is an integer number (3945495240).

Almost surely, 2168001709040 is an apocalyptic number.

168001709040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168001709040 is an abundant number, since it is smaller than the sum of its proper divisors (463277529360).

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

168001709040 is a wasteful number, since it uses less digits than its factorization.

168001709040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070812 (or 7070800 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 168001709040 in words is "one hundred sixty-eight billion, one million, seven hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 7070779 14141558 21212337 28283116 35353895 42424674 56566232 63637011 70707790 77778569 84849348 106061685 113132464 127274022 141415580 155557138 169698696 190911033 212123370 233335707 254548044 282831160 311114276 318185055 339397392 381822066 388892845 424246740 466671414 509096088 565662320 622228552 636370110 700007121 763644132 777785690 848493480 933342828 954555165 1018192176 1166678535 1244457104 1272740220 1400014242 1527288264 1555571380 1696986960 1866685656 1909110330 2100021363 2333357070 2545480440 2800028484 3054576528 3111142760 3500035605 3733371312 3818220660 4200042726 4666714140 5090960880 5600056968 6222285520 7000071210 7636441320 8400085452 9333428280 10500106815 11200113936 14000142420 15272882640 16800170904 18666856560 21000213630 28000284840 33600341808 42000427260 56000569680 84000854520 168001709040