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47970795117840 = 24357171679649689
BaseRepresentation
bin10101110100001000100100…
…01100111101110100010000
320021211222000012011200102120
422322010102030331310100
522241423142022232330
6250005251250214240
713050530010465030
oct1272042214756420
9207758005150376
1047970795117840
1114315333280061
12546908a284380
13209c81b75a45a
14bbbb281678c0
15582c6cc68c10
hex2ba11233dd10

47970795117840 has 160 divisors (see below), whose sum is σ = 179950949187840. Its totient is φ = 10319767683072.

The previous prime is 47970795117821. The next prime is 47970795117853. The reversal of 47970795117840 is 4871159707974.

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, 839796285 + ... + 839853404.

It is an arithmetic number, because the mean of its divisors is an integer number (1124693432424).

Almost surely, 247970795117840 is an apocalyptic number.

47970795117840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47970795117840 is an abundant number, since it is smaller than the sum of its proper divisors (131980154070000).

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

47970795117840 is a wasteful number, since it uses less digits than its factorization.

47970795117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679649729 (or 1679649723 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 69.

The spelling of 47970795117840 in words is "forty-seven trillion, nine hundred seventy billion, seven hundred ninety-five million, one hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 1679649689 3359299378 5038949067 6718598756 8398248445 10077898134 11757547823 13437197512 16796496890 20155796268 23515095646 25194745335 26874395024 28554044713 33592993780 35272643469 40311592536 47030191292 50389490670 57108089426 58787739115 67185987560 70545286938 80623185072 85662134139 94060382584 100778981340 114216178852 117575478230 134371975120 141090573876 142770223565 171324268278 176363217345 188120765168 199878312991 201557962680 228432357704 235150956460 282181147752 285540447130 342648536556 352726434690 399756625982 403115925360 428310670695 456864715408 470301912920 564362295504 571080894260 599634938973 685297073112 705452869380 799513251964 856621341390 940603825840 999391564955 1142161788520 1199269877946 1370594146224 1410905738760 1599026503928 1713242682780 1998783129910 2284323577040 2398539755892 2821811477520 2998174694865 3198053007856 3426485365560 3997566259820 4797079511784 5996349389730 6852970731120 7995132519640 9594159023568 11992698779460 15990265039280 23985397558920 47970795117840