Search a number
-
+
820419543468 = 2232719171349111
BaseRepresentation
bin10111111000001001101…
…00001100000110101100
32220102122110010000200100
423330010310030012230
5101420204400342333
61424521234031100
7113162522025510
oct13740464140654
92812573100610
10820419543468
11296a35497a58
12113004a18490
135c499549285
142b9cc25c140
151651acd2213
hexbf04d0c1ac

820419543468 has 72 divisors (see below), whose sum is σ = 2494843070720. Its totient is φ = 222068446560.

The previous prime is 820419543467. The next prime is 820419543473. The reversal of 820419543468 is 864345914028.

820419543468 is a `hidden beast` number, since 8 + 20 + 4 + 19 + 543 + 4 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (820419543467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85669768 + ... + 85679343.

Almost surely, 2820419543468 is an apocalyptic number.

It is an amenable number.

820419543468 is an abundant number, since it is smaller than the sum of its proper divisors (1674423527252).

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

820419543468 is a wasteful number, since it uses less digits than its factorization.

820419543468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171349147 (or 171349142 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 820419543468 in words is "eight hundred twenty billion, four hundred nineteen million, five hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 171349111 342698222 514047333 685396444 1028094666 1199443777 1542141999 2056189332 2398887554 3084283998 3255633109 3598331331 4797775108 6168567996 6511266218 7196662662 9766899327 10794993993 13022532436 14393325324 19533798654 21589987986 22789431763 29300697981 39067597308 43179975972 45578863526 58601395962 68368295289 91157727052 117202791924 136736590578 205104885867 273473181156 410209771734 820419543468