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678223072848 = 243291139114733
BaseRepresentation
bin10011101111010010011…
…11101100111001010000
32101211121112100212200110
421313221033230321100
542103000101312343
61235323230121320
766666666666666
oct11675117547120
92354545325613
10678223072848
112416a6274a42
12ab53b650240
134bc578c0229
1424b7d030c36
151299733e833
hex9de93ece50

678223072848 has 160 divisors (see below), whose sum is σ = 1830926384640. Its totient is φ = 216063877120.

The previous prime is 678223072817. The next prime is 678223072853. The reversal of 678223072848 is 848270322876.

678223072848 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 714-1.

It is a super-2 number, since 2×6782230728482 (a number of 24 digits) contains 22 as substring.

678223072848 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143294290 + ... + 143299022.

It is an arithmetic number, because the mean of its divisors is an integer number (11443289904).

Almost surely, 2678223072848 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 678223072848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915463192320).

678223072848 is an abundant number, since it is smaller than the sum of its proper divisors (1152703311792).

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

678223072848 is a wasteful number, since it uses less digits than its factorization.

678223072848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 678223072848 in words is "six hundred seventy-eight billion, two hundred twenty-three million, seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 113 116 174 226 232 339 348 452 464 678 696 904 911 1356 1392 1808 1822 2712 2733 3277 3644 4733 5424 5466 6554 7288 9466 9831 10932 13108 14199 14576 18932 19662 21864 26216 26419 28398 37864 39324 43728 52432 52838 56796 75728 78648 79257 102943 105676 113592 137257 157296 158514 205886 211352 227184 274514 308829 317028 411771 411772 422704 534829 549028 617658 634056 823542 823544 1069658 1098056 1235316 1268112 1604487 1647084 1647088 2139316 2196112 2470632 2985347 3208974 3294168 4278632 4311763 4941264 5970694 6417948 6588336 8557264 8623526 8956041 11941388 12835896 12935289 15510041 17247052 17912082 23882776 25671792 25870578 31020082 34494104 35824164 46530123 47765552 51741156 62040164 68988208 71648328 93060246 103482312 124080328 125041127 143296656 186120492 206964624 248160656 250082254 372240984 375123381 487229219 500164508 744481968 750246762 974458438 1000329016 1461687657 1500493524 1948916876 2000658032 2923375314 3000987048 3897833752 5846750628 6001974096 7795667504 11693501256 14129647351 23387002512 28259294702 42388942053 56518589404 84777884106 113037178808 169555768212 226074357616 339111536424 678223072848