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2019090376809 = 341123124632
BaseRepresentation
bin11101011000011011001…
…010100010100001101001
321011000121212202110210000
4131120123022202201221
5231040044114024214
64143320214013213
7265605641013222
oct35303312424151
97130555673700
102019090376809
11709322975500
12287391347209
1311852665641c
146da20032249
15377c3e6a809
hex1d61b2a2869

2019090376809 has 135 divisors (see below), whose sum is σ = 3433106316717. Its totient is φ = 1181659525200.

The previous prime is 2019090376739. The next prime is 2019090376819. The reversal of 2019090376809 is 9086730909102.

The square root of 2019090376809 is 1420947.

It is a perfect power (a square), and thus also a powerful number.

2019090376809 is a `hidden beast` number, since 2 + 0 + 190 + 9 + 0 + 376 + 80 + 9 = 666.

It is not a de Polignac number, because 2019090376809 - 29 = 2019090376297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2019090376819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4360886112 + ... + 4360886574.

Almost surely, 22019090376809 is an apocalyptic number.

2019090376809 is the 1420947-th square number.

2019090376809 is the 710474-th centered octagonal number.

It is an amenable number.

2019090376809 is a deficient number, since it is larger than the sum of its proper divisors (1414015939908).

2019090376809 is an frugal number, since it uses more digits than its factorization.

2019090376809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 2019090376809 in words is "two trillion, nineteen billion, ninety million, three hundred seventy-six thousand, eight hundred nine".

Divisors: 1 3 9 11 27 31 33 81 93 99 121 279 297 341 363 463 837 891 961 1023 1089 1389 2511 2883 3069 3267 3751 4167 5093 8649 9207 9801 10571 11253 12501 14353 15279 25947 27621 31713 33759 37503 43059 45837 56023 77841 95139 101277 116281 129177 137511 157883 168069 214369 285417 303831 348843 387531 412533 444943 473649 504207 643107 856251 1046529 1162593 1334829 1420947 1512621 1736713 1929321 2358059 3139587 4004487 4262841 4537863 4894373 5210139 5787963 6645439 7074177 9418761 12013461 12788523 14683119 15630417 17363889 19936317 21222531 25938649 36040383 44049357 46891251 53838103 59808951 63667593 73099829 77815947 132148071 140673753 161514309 179426853 191002779 206008609 219299487 233447841 396444213 484542927 538280559 618025827 657898461 700343523 804098119 1453628781 1854077481 1973695383 2101030569 2266094699 2412294357 4360886343 5562232443 5921086149 6798284097 7236883071 16686697329 20394852291 21710649213 24927041689 61184556873 65131947639 74781125067 183553670619 224343375201 673030125603 2019090376809