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68720880229344 = 25337241351711257
BaseRepresentation
bin11111010000000010100111…
…01001111001101111100000
3100000022122121022002212111000
433220001103221321233200
533001410330314314334
6402053534143352000
720321630322001500
oct1750012351715740
9300278538085430
1068720880229344
111a9953a8381322
12785a6978b2600
132c4647477a975
1412d8173453a00
157e28c3c60299
hex3e8053a79be0

68720880229344 has 576 divisors, whose sum is σ = 238936097574720. Its totient is φ = 19148498288640.

The previous prime is 68720880229291. The next prime is 68720880229357. The reversal of 68720880229344 is 44392208802786.

68720880229344 is a `hidden beast` number, since 6 + 8 + 7 + 208 + 80 + 2 + 2 + 9 + 344 = 666.

68720880229344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 6104718564 + ... + 6104729820.

It is an arithmetic number, because the mean of its divisors is an integer number (414819613845).

Almost surely, 268720880229344 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 68720880229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119468048787360).

68720880229344 is an abundant number, since it is smaller than the sum of its proper divisors (170215217345376).

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

68720880229344 is a wasteful number, since it uses less digits than its factorization.

68720880229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14848 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 68720880229344 in words is "sixty-eight trillion, seven hundred twenty billion, eight hundred eighty million, two hundred twenty-nine thousand, three hundred forty-four".