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680352222253086 = 23322515597119159
BaseRepresentation
bin1001101010110001101101100…
…0100001111001000000011110
310022012221001000011001112212000
42122230123120201321000132
51203133342322344044321
610410553255054223130
7263206553210216655
oct23254333041710036
93265831004045760
10680352222253086
11187865836797029
126438099a7b4aa6
1323281c297608c6
14c00131a88619c
15539c7c8cc0826
hex26ac6d887901e

680352222253086 has 32 divisors (see below), whose sum is σ = 1512565481798400. Its totient is φ = 226683325899000.

The previous prime is 680352222252979. The next prime is 680352222253133.

680352222253086 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 5 + 2 + 2 + 2 + 22 + 530 + 86 = 666.

680352222253086 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2798438026 + ... + 2798681133.

It is an arithmetic number, because the mean of its divisors is an integer number (47267671306200).

Almost surely, 2680352222253086 is an apocalyptic number.

680352222253086 is an abundant number, since it is smaller than the sum of its proper divisors (832213259545314).

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

680352222253086 is a wasteful number, since it uses less digits than its factorization.

680352222253086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597121421 (or 5597121415 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 680352222253086 in words is "six hundred eighty trillion, three hundred fifty-two billion, two hundred twenty-two million, two hundred fifty-three thousand, eighty-six".

Divisors: 1 2 3 6 9 18 27 54 2251 4502 6753 13506 20259 40518 60777 121554 5597119159 11194238318 16791357477 33582714954 50374072431 100748144862 151122217293 302244434586 12599115226909 25198230453818 37797345680727 75594691361454 113392037042181 226784074084362 340176111126543 680352222253086