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20267411967 = 321119371272293
BaseRepresentation
bin10010111000000010…
…000010100111111111
31221022110201012111200
4102320002002213333
5313001424140332
613151040550543
71315150105425
oct227002024777
957273635450
1020267411967
118660475650
123b17622453
131bacc0577a
14da3a15115
157d948e17c
hex4b80829ff

20267411967 has 96 divisors (see below), whose sum is σ = 34813009920. Its totient is φ = 11228232960.

The previous prime is 20267411953. The next prime is 20267411971. The reversal of 20267411967 is 76911476202.

It is not a de Polignac number, because 20267411967 - 26 = 20267411903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20267411267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8837673 + ... + 8839965.

It is an arithmetic number, because the mean of its divisors is an integer number (362635520).

Almost surely, 220267411967 is an apocalyptic number.

20267411967 is a deficient number, since it is larger than the sum of its proper divisors (14545597953).

20267411967 is a wasteful number, since it uses less digits than its factorization.

20267411967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 20267 and 411967, that added together give a palindrome (432234).

The spelling of 20267411967 in words is "twenty billion, two hundred sixty-seven million, four hundred eleven thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 19 33 37 57 99 111 127 171 209 333 381 407 627 703 1143 1221 1397 1881 2109 2293 2413 3663 4191 4699 6327 6879 7239 7733 12573 14097 20637 21717 23199 25223 26543 42291 43567 51689 69597 75669 79629 84841 89281 130701 155067 227007 238887 254523 267843 291211 392103 465201 479237 763569 803529 873633 933251 982091 1437711 1611979 2620899 2799753 2946273 3203321 4313133 4835937 5533009 8399259 8838819 9609963 10774807 14507811 16599027 17731769 28829889 32324421 49797081 53195307 60863099 96973263 118522877 159585921 182589297 204721333 355568631 547767891 614163999 1066705893 1842491997 2251934663 6755803989 20267411967