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664429262924466 = 2321322420912664261
BaseRepresentation
bin1001011100010010110111111…
…0001100011110101010110010
310020010112211001201220100102200
42113010231332030132222302
51144042002112302040331
610313042331203124030
7256644300350122434
oct22704557614365262
93203484051810380
10664429262924466
11182786960316306
126262aa13973616
13226985452661a0
14ba10795686654
1551c34e36a55e6
hex25c4b7e31eab2

664429262924466 has 48 divisors (see below), whose sum is σ = 1550341983928920. Its totient is φ = 204438845237760.

The previous prime is 664429262924437. The next prime is 664429262924501.

664429262924466 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 2 + 92 + 6 + 2 + 92 + 446 + 6 = 666.

664429262924466 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 536386572720441 + 128042690204025 = 23160021^2 + 11315595^2 .

It is a junction number, because it is equal to n+sod(n) for n = 664429262924394 and 664429262924403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46132776 + ... + 58797036.

Almost surely, 2664429262924466 is an apocalyptic number.

664429262924466 is an abundant number, since it is smaller than the sum of its proper divisors (885912721004454).

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

664429262924466 is a wasteful number, since it uses less digits than its factorization.

664429262924466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888491 (or 12888488 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 72.

The spelling of 664429262924466 in words is "six hundred sixty-four trillion, four hundred twenty-nine billion, two hundred sixty-two million, nine hundred twenty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 224209 448418 672627 1345254 2017881 2914717 4035762 5829434 8744151 12664261 17488302 25328522 26232453 37992783 52464906 75985566 113978349 164635393 227956698 329270786 493906179 987812358 1481718537 2963437074 2839441294549 5678882589098 8518323883647 17036647767294 25554971650941 36912736829137 51109943301882 73825473658274 110738210487411 221476420974822 332214631462233 664429262924466