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20748165414345 = 32529191829100411
BaseRepresentation
bin1001011011110110011110…
…00001110111110111001001
32201110111122022200110121200
410231323033001313313021
510204414220321224340
6112043324155254413
74241001611065635
oct455731701676711
981414568613550
1020748165414345
11667a27a522396
1223b117274a409
13b7670b3b1345
1451a306375dc5
1525ea926e7330
hex12decf077dc9

20748165414345 has 96 divisors (see below), whose sum is σ = 37443875788800. Its totient is φ = 10615248806400.

The previous prime is 20748165414331. The next prime is 20748165414359. The reversal of 20748165414345 is 54341456184702.

20748165414345 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 8 + 16 + 541 + 43 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (20748165414331) and next prime (20748165414359).

It is not a de Polignac number, because 20748165414345 - 24 = 20748165414329 is a prime.

It is a super-2 number, since 2×207481654143452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20748165414291 and 20748165414300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206582190 + ... + 206682600.

It is an arithmetic number, because the mean of its divisors is an integer number (390040372800).

Almost surely, 220748165414345 is an apocalyptic number.

It is an amenable number.

20748165414345 is a deficient number, since it is larger than the sum of its proper divisors (16695710374455).

20748165414345 is a wasteful number, since it uses less digits than its factorization.

20748165414345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101471 (or 101468 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 20748165414345 in words is "twenty trillion, seven hundred forty-eight billion, one hundred sixty-five million, four hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 191 261 435 573 829 955 1305 1719 2487 2865 4145 5539 7461 8595 12435 16617 24041 27695 37305 49851 72123 83085 100411 120205 158339 216369 249255 301233 360615 475017 502055 791695 903699 1081845 1425051 1506165 2375085 2911919 4518495 4591831 7125255 8735757 13775493 14559595 19178501 22959155 26207271 41326479 43678785 57535503 68877465 83240719 95892505 131036355 172606509 206632395 249722157 287677515 416203595 556176529 749166471 863032545 1248610785 1668529587 2413980851 2780882645 3745832355 5005588761 7241942553 8342647935 12069904255 15898977329 21725827659 25027943805 36209712765 47696931987 79494886645 108629138295 143090795961 238484659935 461070342541 715453979805 1383211027623 2305351712705 4149633082869 6916055138115 20748165414345