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9974212124799 = 31329791914091429
BaseRepresentation
bin1001000100100100110101…
…0111101110000001111111
31022022112011222210110102110
42101021031113232001333
52301404141300443144
633114031221225103
72046420163125546
oct221111527560177
938275158713373
109974212124799
1131a604879876a
12115109b562193
13574744625b80
14266a7c29515d
151246baee10b9
hex9124d5ee07f

9974212124799 has 128 divisors (see below), whose sum is σ = 15129354240000. Its totient is φ = 5802375720960.

The previous prime is 9974212124783. The next prime is 9974212124803.

9974212124799 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9974212124799 - 24 = 9974212124783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9974212124299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6979853817 + ... + 6979855245.

It is an arithmetic number, because the mean of its divisors is an integer number (118198080000).

Almost surely, 29974212124799 is an apocalyptic number.

9974212124799 is a deficient number, since it is larger than the sum of its proper divisors (5155142115201).

9974212124799 is a wasteful number, since it uses less digits than its factorization.

9974212124799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153.

The product of its digits is 41150592, while the sum is 66.

The spelling of 9974212124799 in words is "nine trillion, nine hundred seventy-four billion, two hundred twelve million, one hundred twenty-four thousand, seven hundred ninety-nine".

Divisors: 1 3 13 29 39 79 87 191 237 377 409 573 1027 1131 1227 1429 2291 2483 3081 4287 5317 5539 6873 7449 11861 15089 15951 16617 18577 29783 32311 35583 41441 45267 55731 72007 78119 89349 96933 112891 124323 154193 196157 216021 234357 272939 338673 420043 437581 462579 538733 584461 588471 818817 937019 1015547 1260129 1312743 1467583 1616199 1753383 2265451 2811057 3046641 3273839 3548207 4402749 5688553 6171401 6796353 7597993 7915231 9821517 10644621 12181247 16949369 17065659 18514203 21562181 22793979 23745693 29450863 36543741 42559907 46172419 50848107 64686543 80228213 88352589 102898003 111632051 127679721 138517257 178970629 220341797 240684639 280308353 308694009 334896153 536911887 600241447 625303249 661025391 840925059 1339000151 1451216663 1800724341 1875909747 2326618177 3237329479 4017000453 4353649989 6979854531 8128942237 8818932029 9711988437 17407001963 24386826711 26456796087 42085283227 52221005889 114646116377 126255849681 255749028841 343938349131 767247086523 3324737374933 9974212124799