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68894945280 = 212345717349
BaseRepresentation
bin100000000101001110…
…1010111000000000000
320120211101222211210000
41000022131113000000
52112044101222110
651352213440000
74656165241530
oct1001235270000
9216741884700
1068894945280
1127244445107
1211428940000
13665c517015
143497d5d4c0
151bd35cc1c0
hex100a757000

68894945280 has 1040 divisors, whose sum is σ = 299711966400. Its totient is φ = 14778630144.

The previous prime is 68894945237. The next prime is 68894945293. The reversal of 68894945280 is 8254949886.

68894945280 is a `hidden beast` number, since 68 + 8 + 9 + 49 + 4 + 528 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197406546 + ... + 197406894.

Almost surely, 268894945280 is an apocalyptic number.

68894945280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68894945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149855983200).

68894945280 is an abundant number, since it is smaller than the sum of its proper divisors (230817021120).

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

68894945280 is a wasteful number, since it uses less digits than its factorization.

68894945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 68894945280 in words is "sixty-eight billion, eight hundred ninety-four million, nine hundred forty-five thousand, two hundred eighty".