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668898187776 = 29327213317351
BaseRepresentation
bin10011011101111010111…
…00000101101000000000
32100221112122221122010200
421232331130011220000
541424400414002101
61231142041325200
766216630533100
oct11567534055000
92327478848120
10668898187776
11238750652855
12a9778796800
134b0cca3b360
1424536809200
15125ed88a986
hex9bbd705a00

668898187776 has 720 divisors, whose sum is σ = 2496763196928. Its totient is φ = 170698752000.

The previous prime is 668898187753. The next prime is 668898187777. The reversal of 668898187776 is 677781898866.

It is a super-2 number, since 2×6688981877762 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 668898187695 and 668898187704.

It is not an unprimeable number, because it can be changed into a prime (668898187777) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90990501 + ... + 90997851.

Almost surely, 2668898187776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668898187776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248381598464).

668898187776 is an abundant number, since it is smaller than the sum of its proper divisors (1827865009152).

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

668898187776 is a wasteful number, since it uses less digits than its factorization.

668898187776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7407 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 81.

The spelling of 668898187776 in words is "six hundred sixty-eight billion, eight hundred ninety-eight million, one hundred eighty-seven thousand, seven hundred seventy-six".