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669413603328 = 21131719477177
BaseRepresentation
bin10011011110111000010…
…10001111100000000000
32100222212120210110100120
421233130022033200000
541431424340301303
61231305132420240
766235456513251
oct11573412174000
92328776713316
10669413603328
11238995589118
12a98a1317680
134b18275cc82
1424585054b28
151262dc4b553
hex9bdc28f800

669413603328 has 384 divisors, whose sum is σ = 2031707059200. Its totient is φ = 194698543104.

The previous prime is 669413603323. The next prime is 669413603363. The reversal of 669413603328 is 823306314966.

It is a happy number.

It is a Cunningham number, because it is equal to 8181772-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6694136033282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669413603323) 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 31 ways as a sum of consecutive naturals, for example, 93268476 + ... + 93275652.

It is an arithmetic number, because the mean of its divisors is an integer number (5290903800).

Almost surely, 2669413603328 is an apocalyptic number.

669413603328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669413603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015853529600).

669413603328 is an abundant number, since it is smaller than the sum of its proper divisors (1362293455872).

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

669413603328 is a wasteful number, since it uses less digits than its factorization.

669413603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 669413603328 in words is "six hundred sixty-nine billion, four hundred thirteen million, six hundred three thousand, three hundred twenty-eight".