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673066920960 = 210375731277
BaseRepresentation
bin10011100101101011110…
…10100010110000000000
32101100022012011020000000
421302311322202300000
542011420112432320
61233111440000000
766425140301130
oct11626572426000
92340265136000
10673066920960
1123a49a803795
12aa540900000
134b6155ba595
1424810322ac0
1512794840c90
hex9cb5ea2c00

673066920960 has 1408 divisors, whose sum is σ = 2867000033280. Its totient is φ = 148343685120.

The previous prime is 673066920941. The next prime is 673066920973. The reversal of 673066920960 is 69029660376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 673066920897 and 673066920906.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2429844342 + ... + 2429844618.

Almost surely, 2673066920960 is an apocalyptic number.

673066920960 is a gapful number since it is divisible by the number (60) 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 673066920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433500016640).

673066920960 is an abundant number, since it is smaller than the sum of its proper divisors (2193933112320).

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

673066920960 is an equidigital number, since it uses as much as digits as its factorization.

673066920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 673066920960 in words is "six hundred seventy-three billion, sixty-six million, nine hundred twenty thousand, nine hundred sixty".