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680046112000 = 285321251441
BaseRepresentation
bin10011110010101011110…
…10000010110100000000
32102000022120201212021001
421321111322002310000
542120213301041000
61240224152141344
7100063114401643
oct11712572026400
92360276655231
10680046112000
11242451335272
12ab96a097854
134c1884b8b18
1424cb31c3a5a
1512a523e946a
hex9e55e82d00

680046112000 has 72 divisors (see below), whose sum is σ = 1694079950472. Its totient is φ = 272018432000.

The previous prime is 680046111971. The next prime is 680046112021. The reversal of 680046112000 is 211640086.

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 680004741376 = 6432^2 + 824624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 680046112000.

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 7 ways as a sum of consecutive naturals, for example, 10593721 + ... + 10657720.

It is an arithmetic number, because the mean of its divisors is an integer number (23528888201).

Almost surely, 2680046112000 is an apocalyptic number.

It is an amenable number.

680046112000 is an abundant number, since it is smaller than the sum of its proper divisors (1014033838472).

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

680046112000 is an equidigital number, since it uses as much as digits as its factorization.

680046112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21251472 (or 21251448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 680046112000 its reverse (211640086), we get a palindrome (680257752086).

The spelling of 680046112000 in words is "six hundred eighty billion, forty-six million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 21251441 42502882 85005764 106257205 170011528 212514410 340023056 425028820 531286025 680046112 850057640 1062572050 1360092224 1700115280 2125144100 2656430125 2720184448 3400230560 4250288200 5312860250 5440368896 6800461120 8500576400 10625720500 13600922240 17001152800 21251441000 27201844480 34002305600 42502882000 68004611200 85005764000 136009222400 170011528000 340023056000 680046112000