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1992166036399 = 71131931715113
BaseRepresentation
bin11100111111010110010…
…110010101001110101111
321001110010110212021012001
4130333112112111032233
5230114424001131044
64123104411553131
7263633505625030
oct34772626251657
97043113767161
101992166036399
116a8966879000
1228211845b7a7
13115b25546456
146c5c8286a87
1536c4a37d2d4
hex1cfd65953af

1992166036399 has 128 divisors (see below), whose sum is σ = 2759969341440. Its totient is φ = 1402875936000.

The previous prime is 1992166036381. The next prime is 1992166036417. The reversal of 1992166036399 is 9936306612991.

It is an interprime number because it is at equal distance from previous prime (1992166036381) and next prime (1992166036417).

It is not a de Polignac number, because 1992166036399 - 221 = 1992163939247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1992166036399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992166036339) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389625067 + ... + 389630179.

It is an arithmetic number, because the mean of its divisors is an integer number (21562260480).

Almost surely, 21992166036399 is an apocalyptic number.

1992166036399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1992166036399 is a deficient number, since it is larger than the sum of its proper divisors (767803305041).

1992166036399 is a wasteful number, since it uses less digits than its factorization.

1992166036399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 64.

The spelling of 1992166036399 in words is "one trillion, nine hundred ninety-two billion, one hundred sixty-six million, thirty-six thousand, three hundred ninety-nine".

Divisors: 1 7 11 19 31 71 77 121 133 209 217 341 497 589 781 847 1331 1349 1463 2201 2299 2387 3751 4123 5113 5467 6479 8591 9317 9443 14839 15407 16093 24211 25289 26257 35791 41261 41819 45353 56243 60137 71269 94501 97147 103873 158503 163229 169477 177023 266321 288827 292733 363023 393701 460009 498883 618673 661507 680029 783959 1068617 1109521 1142603 1743533 1795519 1864247 2541161 2929531 3011557 3220063 3993253 4330711 5060099 5487713 6805403 6897437 7480319 11253713 11754787 12204731 12568633 19178863 20506717 21080899 27952771 33127127 35420693 43925783 47637821 48282059 55661089 75871807 78775991 82283509 123790843 129302657 134252041 210967493 213820547 231889889 307480481 364398397 389627623 483183613 531102649 834589877 866535901 905118599 1361699273 1476772451 1496743829 2352026017 2550788779 3382285291 4008382367 5842129139 9180488647 9531894911 14978692003 16464182119 25872286187 28058676569 64263420529 104850844021 181106003309 284595148057 1992166036399