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672674953860 = 22345713193161127
BaseRepresentation
bin10011100100111101000…
…11010011101010000100
32101022021212121020020000
421302132203103222010
542010114242010420
61233004514441300
766412340523660
oct11623643235204
92338255536200
10672674953860
1123a309525038
12aa451593230
134b58232c3a0
14247b424d8a0
1512770217690
hex9c9e8d3a84

672674953860 has 1920 divisors, whose sum is σ = 2890908303360. Its totient is φ = 126978969600.

The previous prime is 672674953859. The next prime is 672674953871. The reversal of 672674953860 is 68359476276.

672674953860 is a `hidden beast` number, since 6 + 7 + 2 + 67 + 495 + 3 + 86 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5296653117 + ... + 5296653243.

It is an arithmetic number, because the mean of its divisors is an integer number (1505681408).

Almost surely, 2672674953860 is an apocalyptic number.

672674953860 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 672674953860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445454151680).

672674953860 is an abundant number, since it is smaller than the sum of its proper divisors (2218233349500).

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

672674953860 is a wasteful number, since it uses less digits than its factorization.

672674953860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 672674953860 in words is "six hundred seventy-two billion, six hundred seventy-four million, nine hundred fifty-three thousand, eight hundred sixty".