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68148995328 = 2833314767101
BaseRepresentation
bin111111011101111111…
…110010010100000000
320111220102100122211000
4333131333302110000
52104032120322303
651150205252000
74631536621401
oct773577622400
9214812318730
1068148995328
11269a1370947
121125ab64000
136570b09b0b
143426c639a8
151b8cd7eda3
hexfddff2500

68148995328 has 576 divisors, whose sum is σ = 217761546240. Its totient is φ = 20984832000.

The previous prime is 68148995309. The next prime is 68148995381. The reversal of 68148995328 is 82359984186.

68148995328 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 8 + 99 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674742478 + ... + 674742578.

It is an arithmetic number, because the mean of its divisors is an integer number (378058240).

Almost surely, 268148995328 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 68148995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108880773120).

68148995328 is an abundant number, since it is smaller than the sum of its proper divisors (149612550912).

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

68148995328 is a wasteful number, since it uses less digits than its factorization.

68148995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 68148995328 in words is "sixty-eight billion, one hundred forty-eight million, nine hundred ninety-five thousand, three hundred twenty-eight".