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2084745923760 = 243523761496283
BaseRepresentation
bin11110010101100100100…
…010100100110010110000
321101022002112020211110010
4132111210202210302300
5233124024424030020
64233415152134520
7303421642654053
oct36254442446260
97338075224403
102084745923760
117341547a7705
12298055237440
1312178a9b8ba6
1472c8ba6ca9a
1539367e65de0
hex1e5648a4cb0

2084745923760 has 160 divisors (see below), whose sum is σ = 6752575093248. Its totient is φ = 531061442560.

The previous prime is 2084745923753. The next prime is 2084745923831. The reversal of 2084745923760 is 673295474802.

It is a self number, because there is not a number n which added to its sum of digits gives 2084745923760.

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, 3952579 + ... + 4448861.

Almost surely, 22084745923760 is an apocalyptic number.

2084745923760 is a gapful number since it is divisible by the number (20) 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 2084745923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376287546624).

2084745923760 is an abundant number, since it is smaller than the sum of its proper divisors (4667829169488).

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

2084745923760 is a wasteful number, since it uses less digits than its factorization.

2084745923760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497083 (or 497077 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 2084745923760 in words is "two trillion, eighty-four billion, seven hundred forty-five million, nine hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 761 920 1104 1380 1522 1840 2283 2760 3044 3805 4566 5520 6088 7610 9132 11415 12176 15220 17503 18264 22830 30440 35006 36528 45660 52509 60880 70012 87515 91320 105018 140024 175030 182640 210036 262545 280048 350060 420072 496283 525090 700120 840144 992566 1050180 1400240 1488849 1985132 2100360 2481415 2977698 3970264 4200720 4962830 5955396 7444245 7940528 9925660 11414509 11910792 14888490 19851320 22829018 23821584 29776980 34243527 39702640 45658036 57072545 59553960 68487054 91316072 114145090 119107920 136974108 171217635 182632144 228290180 273948216 342435270 377671363 456580360 547896432 684870540 755342726 913160720 1133014089 1369741080 1510685452 1888356815 2266028178 2739482160 3021370904 3776713630 4532056356 5665070445 6042741808 7553427260 8686441349 9064112712 11330140890 15106854520 17372882698 18128225424 22660281780 26059324047 30213709040 34745765396 43432206745 45320563560 52118648094 69491530792 86864413490 90641127120 104237296188 130296620235 138983061584 173728826980 208474592376 260593240470 347457653960 416949184752 521186480940 694915307920 1042372961880 2084745923760