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66383255398464 = 26341131612
BaseRepresentation
bin11110001100000000011100…
…10110110110100001000000
322201001011210012120112210000
433012000032112312201000
532200110401340222324
6353104014014440000
716661013644534424
oct1706001626664100
9281034705515700
1066383255398464
111a173a87078994
127541629b03000
132b06bb6438b74
141256d768ccb84
157a1baa3aa9c9
hex3c600e5b6840

66383255398464 has 105 divisors (see below), whose sum is σ = 196782503950461. Its totient is φ = 22127556257280.

The previous prime is 66383255398457. The next prime is 66383255398519. The reversal of 66383255398464 is 46489355238366.

The square root of 66383255398464 is 8147592.

It is a perfect power (a square), and thus also a powerful number.

66383255398464 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 3 + 2 + 5 + 539 + 84 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58204570572864 + 8178684825600 = 7629192^2 + 2859840^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66383255398392 and 66383255398401.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 586570044 + ... + 586683204.

Almost surely, 266383255398464 is an apocalyptic number.

66383255398464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66383255398464 is the 8147592-nd square number.

It is an amenable number.

66383255398464 is an abundant number, since it is smaller than the sum of its proper divisors (130399248551997).

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

66383255398464 is an frugal number, since it uses more digits than its factorization.

66383255398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226346 (or 113166 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 72.

The spelling of 66383255398464 in words is "sixty-six trillion, three hundred eighty-three billion, two hundred fifty-five million, three hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 113161 226322 339483 452644 678966 905288 1018449 1357932 1810576 2036898 2715864 3055347 3621152 4073796 5431728 6110694 7242304 8147592 9166041 10863456 12221388 16295184 18332082 21726912 24442776 32590368 36664164 48885552 65180736 73328328 97771104 146656656 195542208 293313312 586626624 12805411921 25610823842 38416235763 51221647684 76832471526 102443295368 115248707289 153664943052 204886590736 230497414578 307329886104 345746121867 409773181472 460994829156 614659772208 691492243734 819546362944 921989658312 1037238365601 1229319544416 1382984487468 1843979316624 2074476731202 2458639088832 2765968974936 3687958633248 4148953462404 5531937949872 7375917266496 8297906924808 11063875899744 16595813849616 22127751799488 33191627699232 66383255398464