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664124176 = 2417191071201
BaseRepresentation
bin100111100101011…
…011101100010000
31201021200000002201
4213211123230100
52330003433201
6145522252544
722312651042
oct4745335420
91637600081
10664124176
11310976361
121664b7154
13a778aab1
14642b9a92
153d487801
hex2795bb10

664124176 has 80 divisors (see below), whose sum is σ = 1448746560. Its totient is φ = 293068800.

The previous prime is 664124117. The next prime is 664124179. The reversal of 664124176 is 671421466.

664124176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6641241762 = 882121842295357952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664124179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552376 + ... + 553576.

It is an arithmetic number, because the mean of its divisors is an integer number (18109332).

Almost surely, 2664124176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664124176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724373280).

664124176 is an abundant number, since it is smaller than the sum of its proper divisors (784622384).

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

664124176 is a wasteful number, since it uses less digits than its factorization.

664124176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 664124176 is about 25770.6068225023. The cubic root of 664124176 is about 872.4685148859.

The spelling of 664124176 in words is "six hundred sixty-four million, one hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 107 136 152 214 272 304 323 428 646 856 1201 1292 1712 1819 2033 2402 2584 3638 4066 4804 5168 7276 8132 9608 14552 16264 19216 20417 22819 29104 32528 34561 40834 45638 69122 81668 91276 128507 138244 163336 182552 257014 276488 326672 365104 387923 514028 552976 775846 1028056 1551692 2056112 2184619 2441633 3103384 4369238 4883266 6206768 8738476 9766532 17476952 19533064 34953904 39066128 41507761 83015522 166031044 332062088 664124176