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6664109956 = 2278172
BaseRepresentation
bin1100011010011011…
…00011111110000100
3122012102200212021021
412031031203332010
5102122003004311
63021135000524
7324100000000
oct61515437604
918172625237
106664109956
11290a797499
12135b969144
1382285023a
144730c3700
152900bb171
hex18d363f84

6664109956 has 81 divisors (see below), whose sum is σ = 14453316549. Its totient is φ = 2688044352.

The previous prime is 6664109941. The next prime is 6664109971. The reversal of 6664109956 is 6599014666.

The square root of 6664109956 is 81634.

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

It is an interprime number because it is at equal distance from previous prime (6664109941) and next prime (6664109971).

It can be written as a sum of positive squares in only one way, i.e., 5188320900 + 1475789056 = 72030^2 + 38416^2 .

6664109956 is a modest number, since divided by 109956 gives 6664 as remainder.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 392006460 + ... + 392006476.

Almost surely, 26664109956 is an apocalyptic number.

6664109956 is the 81634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6664109956

6664109956 is an abundant number, since it is smaller than the sum of its proper divisors (7789206593).

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

6664109956 is an frugal number, since it uses more digits than its factorization.

6664109956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The cubic root of 6664109956 is about 1881.8314313135.

The spelling of 6664109956 in words is "six billion, six hundred sixty-four million, one hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 343 476 578 686 833 1156 1372 1666 2023 2401 3332 4046 4802 5831 8092 9604 11662 14161 16807 23324 28322 33614 40817 56644 67228 81634 99127 117649 163268 198254 235298 285719 396508 470596 571438 693889 823543 1142876 1387778 1647086 2000033 2775556 3294172 4000066 4857223 5764801 8000132 9714446 11529602 14000231 19428892 23059204 28000462 34000561 56000924 68001122 98001617 136002244 196003234 238003927 392006468 476007854 952015708 1666027489 3332054978 6664109956