Search a number
-
+
20127410701424 = 24131633111908871
BaseRepresentation
bin1001001001110010001110…
…01010100100010001110000
32122021011100212011202101022
410210321013022210101300
510114231414114421144
6110450223235355012
74145105000065535
oct444710712442160
978234325152338
1020127410701424
11645aa94690894
1223109b1152a68
13b300118c1520
144d82598acd8c
1524d86072ecee
hex124e472a4470

20127410701424 has 80 divisors (see below), whose sum is σ = 42390152523264. Its totient is φ = 9202891334400.

The previous prime is 20127410701421. The next prime is 20127410701451. The reversal of 20127410701424 is 42410701472102.

It is a super-2 number, since 2×201274107014242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20127410701421) 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, 9589709 + ... + 11498579.

Almost surely, 220127410701424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20127410701424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195076261632).

20127410701424 is an abundant number, since it is smaller than the sum of its proper divisors (22262741821840).

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

20127410701424 is a wasteful number, since it uses less digits than its factorization.

20127410701424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909366 (or 1909360 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The spelling of 20127410701424 in words is "twenty trillion, one hundred twenty-seven billion, four hundred ten million, seven hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 311 326 622 652 1244 1304 2119 2488 2608 4043 4238 4976 8086 8476 16172 16952 32344 33904 50693 64688 101386 202772 405544 659009 811088 1318018 1908871 2636036 3817742 5272072 7635484 10544144 15270968 24815323 30541936 49630646 99261292 198522584 311145973 397045168 593658881 622291946 1187317762 1244583892 2374635524 2489167784 4044897649 4749271048 4978335568 7717565453 8089795298 9498542096 15435130906 16179590596 30870261812 32359181192 61740523624 64718362384 96766397603 123481047248 193532795206 387065590412 774131180824 1257963168839 1548262361648 2515926337678 5031852675356 10063705350712 20127410701424