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68445376634880 = 213335724332917
BaseRepresentation
bin11111001000000001011100…
…10111000110000000000000
322222100022110222111011211000
433210000232113012000000
532432402112404304010
6401323212201252000
720263005145043100
oct1744005627060000
9288308428434730
1068445376634880
111a89958081a083
12781520a194000
132c264a9a4239b
1412c8ab9849200
157da64be4a7c0
hex3e402e5c6000

68445376634880 has 1344 divisors, whose sum is σ = 283827548249280. Its totient is φ = 15603175784448.

The previous prime is 68445376634851. The next prime is 68445376634903. The reversal of 68445376634880 is 8843667354486.

It is a happy number.

68445376634880 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 537 + 6 + 6 + 3 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×684453766348802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68445376634799 and 68445376634808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23464303182 + ... + 23464306098.

It is an arithmetic number, because the mean of its divisors is an integer number (211181211495).

Almost surely, 268445376634880 is an apocalyptic number.

68445376634880 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 68445376634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141913774124640).

68445376634880 is an abundant number, since it is smaller than the sum of its proper divisors (215382171614400).

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

68445376634880 is a wasteful number, since it uses less digits than its factorization.

68445376634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 68445376634880 in words is "sixty-eight trillion, four hundred forty-five billion, three hundred seventy-six million, six hundred thirty-four thousand, eight hundred eighty".