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420929466867 = 327213439911723
BaseRepresentation
bin1100010000000010101…
…10011111000111110011
31111020111022001110002100
412020001112133013303
523344030420414432
6521212231151443
742261011301600
oct6100126370763
91436438043070
10420929466867
1115257378a658
12696b4515583
1330902758a70
1416531ab56a7
15ae3906207c
hex620159f1f3

420929466867 has 144 divisors (see below), whose sum is σ = 780634702848. Its totient is φ = 216520698240.

The previous prime is 420929466863. The next prime is 420929466901. The reversal of 420929466867 is 768664929024.

420929466867 is a `hidden beast` number, since 4 + 2 + 0 + 92 + 9 + 466 + 86 + 7 = 666.

It is not a de Polignac number, because 420929466867 - 22 = 420929466863 is a prime.

It is a super-4 number, since 4×4209294668674 (a number of 48 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (420929466863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244299468 + ... + 244301190.

Almost surely, 2420929466867 is an apocalyptic number.

420929466867 is a deficient number, since it is larger than the sum of its proper divisors (359705235981).

420929466867 is a wasteful number, since it uses less digits than its factorization.

420929466867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 420929466867 in words is "four hundred twenty billion, nine hundred twenty-nine million, four hundred sixty-six thousand, eight hundred sixty-seven".

Divisors: 1 3 7 9 13 21 39 43 49 63 91 117 129 147 273 301 387 441 559 637 819 903 991 1677 1723 1911 2107 2709 2973 3913 5031 5169 5733 6321 6937 8919 11739 12061 12883 15507 18963 20811 22399 27391 35217 36183 38649 42613 48559 62433 67197 74089 82173 84427 90181 108549 115947 127839 145677 156793 201591 222267 246519 253281 270543 298291 383517 437031 470379 518623 553969 631267 666801 759843 811629 894873 963157 1097551 1411137 1555869 1661907 1707493 1893801 2088037 2684619 2889471 3292653 3630361 3877783 4667607 4985721 5122479 5681403 6264111 6742099 8668413 9877959 10891083 11633349 11952451 15367437 18792333 20226297 22197409 27144481 32673249 34900047 35857353 47194693 60678891 66592227 73422199 81433443 83667157 107572059 141584079 155381863 199776681 220266597 244300329 251001471 424752237 466145589 513955393 660799791 753004413 954488587 1087673041 1398436767 1541866179 2863465761 3263019123 3597687751 4625598537 6681420109 8590397283 9789057369 10793063253 20044260327 32379189759 46769940763 60132780981 140309822289 420929466867