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66574989216 = 2532534361569
BaseRepresentation
bin111110000000001011…
…011011011110100000
320100211201120212100100
4332000023123132200
52042321144123331
650330101022400
74544535033321
oct760013333640
9210751525310
1066574989216
112626393384a
1210a9b9b4a00
13637c9a5758
143317bb8448
151ae9ab7ae6
hexf802db7a0

66574989216 has 72 divisors (see below), whose sum is σ = 192894794820. Its totient is φ = 21772947456.

The previous prime is 66574989211. The next prime is 66574989241. The reversal of 66574989216 is 61298947566.

66574989216 is a `hidden beast` number, since 6 + 6 + 57 + 498 + 92 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58438227600 + 8136761616 = 241740^2 + 90204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×665749892162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66574989211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2165521 + ... + 2196048.

Almost surely, 266574989216 is an apocalyptic number.

It is an amenable number.

66574989216 is an abundant number, since it is smaller than the sum of its proper divisors (126319805604).

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

66574989216 is a wasteful number, since it uses less digits than its factorization.

66574989216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361638 (or 4361627 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 66574989216 in words is "sixty-six billion, five hundred seventy-four million, nine hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 4361569 8723138 13084707 17446276 26169414 34892552 39254121 52338828 69785104 78508242 104677656 139570208 157016484 209355312 231163157 314032968 418710624 462326314 628065936 693489471 924652628 1256131872 1386978942 1849305256 2080468413 2773957884 3698610512 4160936826 5547915768 7397221024 8321873652 11095831536 16643747304 22191663072 33287494608 66574989216