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680750179200 = 27345273131931
BaseRepresentation
bin10011110011111111101…
…11110110001110000000
32102002010122120011220000
421321333313312032000
542123134021213300
61240422102520000
7100116424023000
oct11717767661600
92362118504800
10680750179200
11242782802393
12abb25a36000
134c26b320530
1424d3c8da000
1512a94121c00
hex9e7fdf6380

680750179200 has 3840 divisors, whose sum is σ = 3428113920000. Its totient is φ = 131681894400.

The previous prime is 680750179147. The next prime is 680750179253. The reversal of 680750179200 is 2971057086.

It is an interprime number because it is at equal distance from previous prime (680750179147) and next prime (680750179253).

It is a super-2 number, since 2×6807501792002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21959683185 + ... + 21959683215.

It is an arithmetic number, because the mean of its divisors is an integer number (892738000).

Almost surely, 2680750179200 is an apocalyptic number.

680750179200 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 680750179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714056960000).

680750179200 is an abundant number, since it is smaller than the sum of its proper divisors (2747363740800).

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

680750179200 is a wasteful number, since it uses less digits than its factorization.

680750179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 680750179200 in words is "six hundred eighty billion, seven hundred fifty million, one hundred seventy-nine thousand, two hundred".