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20135105767240 = 23515726849119417
BaseRepresentation
bin1001001010000000100011…
…10100111010011101001000
32122021220020010210121012221
410211000101310322131020
510114343144034022430
6110453535003343424
74145466456056002
oct445002164723510
978256203717187
1020135105767240
116463283314712
12231239a221b74
13b30969bc99c9
144d878987b372
1524db6109457a
hex125011d3a748

20135105767240 has 64 divisors (see below), whose sum is σ = 45594628326000. Its totient is φ = 8002377596928.

The previous prime is 20135105767109. The next prime is 20135105767247. The reversal of 20135105767240 is 4276750153102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8761848641764 + 11373257125476 = 2960042^2 + 3372426^2 .

It is not an unprimeable number, because it can be changed into a prime (20135105767247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168552012 + ... + 168671428.

Almost surely, 220135105767240 is an apocalyptic number.

20135105767240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135105767240 is an abundant number, since it is smaller than the sum of its proper divisors (25459522558760).

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

20135105767240 is a wasteful number, since it uses less digits than its factorization.

20135105767240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146434 (or 146430 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 20135105767240 in words is "twenty trillion, one hundred thirty-five billion, one hundred five million, seven hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 26849 53698 107396 119417 134245 214792 238834 268490 477668 536980 597085 955336 1073960 1194170 2388340 4215293 4776680 8430586 16861172 18748469 21076465 33722344 37496938 42152930 74993876 84305860 93742345 149987752 168611720 187484690 374969380 749938760 3206227033 6412454066 12824908132 16031135165 25649816264 32062270330 64124540660 128249081320 503377644181 1006755288362 2013510576724 2516888220905 4027021153448 5033776441810 10067552883620 20135105767240