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20765990349468 = 2234713704313877
BaseRepresentation
bin1001011100010111101010…
…11110100110101010011100
32201112012122120102222210000
410232023311132212222130
510210212222012140333
6112055433025414300
74242202412405550
oct456136536465234
981465576388700
1020765990349468
116686897202a31
1223b470819a390
13b782bc278130
1451b117831860
1526028751e713
hex12e2f57a6a9c

20765990349468 has 120 divisors (see below), whose sum is σ = 66814031722592. Its totient is φ = 5476744699776.

The previous prime is 20765990349449. The next prime is 20765990349491. The reversal of 20765990349468 is 86494309956702.

20765990349468 is a `hidden beast` number, since 2 + 0 + 76 + 5 + 9 + 9 + 0 + 3 + 494 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20765990349396 and 20765990349405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352127455 + ... + 352186422.

Almost surely, 220765990349468 is an apocalyptic number.

20765990349468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20765990349468 is an abundant number, since it is smaller than the sum of its proper divisors (46048041373124).

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

20765990349468 is a wasteful number, since it uses less digits than its factorization.

20765990349468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704313913 (or 704313902 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 20765990349468 in words is "twenty trillion, seven hundred sixty-five billion, nine hundred ninety million, three hundred forty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 704313877 1408627754 2112941631 2817255508 4225883262 4930197139 6338824893 8451766524 9156080401 9860394278 12677649786 14790591417 18312160802 19016474679 19720788556 25355299572 27468241203 29581182834 36624321604 38032949358 44371774251 54936482406 57049424037 59162365668 64092562807 76065898716 82404723609 88743548502 109872964812 114098848074 128185125614 133115322753 164809447218 177487097004 192277688421 228197696148 247214170827 256370251228 266230645506 329618894436 384555376842 399345968259 494428341654 532461291012 576833065263 741642512481 769110753684 798691936518 988856683308 1153666130526 1483285024962 1597383873036 1730499195789 2307332261052 2966570049924 3460998391578 5191497587367 6921996783156 10382995174734 20765990349468