Search a number
-
+
243263456046 = 232132233476881
BaseRepresentation
bin1110001010001110100…
…0011100001100101110
3212020220110002222002100
43202203220130030232
512441200421043141
6303430444035530
723401203154632
oct3424350341456
9766813088070
10243263456046
1194192974056
123b190532ba6
1319c2a52a300
14bab9c74dc2
1564db6e10b6
hex38a3a1c32e

243263456046 has 72 divisors (see below), whose sum is σ = 595548164016. Its totient is φ = 71595912960.

The previous prime is 243263456021. The next prime is 243263456047. The reversal of 243263456046 is 640654362342.

243263456046 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 6 + 34 + 5 + 604 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 243263455992 and 243263456010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243263456047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1668475 + ... + 1808406.

It is an arithmetic number, because the mean of its divisors is an integer number (8271502278).

Almost surely, 2243263456046 is an apocalyptic number.

243263456046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

243263456046 is an abundant number, since it is smaller than the sum of its proper divisors (352284707970).

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

243263456046 is a wasteful number, since it uses less digits than its factorization.

243263456046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476938 (or 3476922 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 243263456046 in words is "two hundred forty-three billion, two hundred sixty-three million, four hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 414 507 598 897 1014 1521 1794 2691 3042 3887 5382 7774 11661 23322 34983 69966 3476881 6953762 10430643 20861286 31291929 45199453 62583858 79968263 90398906 135598359 159936526 239904789 271196718 406795077 479809578 587592889 719714367 813590154 1039587419 1175185778 1439428734 1762778667 2079174838 3118762257 3525557334 5288336001 6237524514 9356286771 10576672002 13514636447 18712573542 27029272894 40543909341 81087818682 121631728023 243263456046