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666381312 = 2103272307
BaseRepresentation
bin100111101110000…
…010110000000000
31201102220200022100
4213232002300000
52331043200222
6150042510400
722341101442
oct4756026000
91642820270
10666381312
11312178163
12167205400
13a809b28c
1464706492
153d7814ac
hex27b82c00

666381312 has 66 divisors (see below), whose sum is σ = 1924188188. Its totient is φ = 222124032.

The previous prime is 666381299. The next prime is 666381337. The reversal of 666381312 is 213183666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26938 + ... + 45369.

Almost surely, 2666381312 is an apocalyptic number.

It is an amenable number.

666381312 is an abundant number, since it is smaller than the sum of its proper divisors (1257806876).

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

666381312 is a wasteful number, since it uses less digits than its factorization.

666381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72333 (or 72312 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 666381312 is about 25814.3625139185. The cubic root of 666381312 is about 873.4558068176.

It can be divided in two parts, 66 and 6381312, that added together give a triangular number (6381378 = T3572).

The spelling of 666381312 in words is "six hundred sixty-six million, three hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 72307 144614 216921 289228 433842 578456 650763 867684 1156912 1301526 1735368 2313824 2603052 3470736 4627648 5206104 6941472 9255296 10412208 13882944 18510592 20824416 27765888 37021184 41648832 55531776 74042368 83297664 111063552 166595328 222127104 333190656 666381312