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67825384360 = 23543217918097
BaseRepresentation
bin111111001010101101…
…010011101110101000
320111001212102112000121
4333022231103232220
52102401244244420
651054125213024
74620530153236
oct771255235650
9214055375017
1067825384360
1126845730168
121118a701174
13651ba63136
1433d5ca5956
151b6e75a2aa
hexfcab53ba8

67825384360 has 64 divisors (see below), whose sum is σ = 156236414400. Its totient is φ = 26485595136.

The previous prime is 67825384357. The next prime is 67825384391. The reversal of 67825384360 is 6348352876.

It is a junction number, because it is equal to n+sod(n) for n = 67825384298 and 67825384307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3738832 + ... + 3756928.

It is an arithmetic number, because the mean of its divisors is an integer number (2441193975).

Almost surely, 267825384360 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 67825384360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78118207200).

67825384360 is an abundant number, since it is smaller than the sum of its proper divisors (88411030040).

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

67825384360 is a wasteful number, since it uses less digits than its factorization.

67825384360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 67825384360 in words is "sixty-seven billion, eight hundred twenty-five million, three hundred eighty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2179 4358 8716 10895 17432 18097 21790 36194 43580 72388 87160 90485 93697 144776 180970 187394 361940 374788 468485 723880 749576 778171 936970 1556342 1873940 3112684 3747880 3890855 6225368 7781710 15563420 31126840 39433363 78866726 157733452 197166815 315466904 394333630 788667260 1577334520 1695634609 3391269218 6782538436 8478173045 13565076872 16956346090 33912692180 67825384360