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1068719883264 = 210321131893821
BaseRepresentation
bin11111000110101001010…
…10110100010000000000
310210011112221000012022200
433203110222310100000
5120002214242231024
62134544012033200
7140132606056635
oct17432452642000
93704487005280
101068719883264
11382272570350
12153160162800
1379a1a44a467
1439a2503618c
151cbee7b32c9
hexf8d4ab4400

1068719883264 has 528 divisors, whose sum is σ = 3515002283520. Its totient is φ = 309805056000.

The previous prime is 1068719883251. The next prime is 1068719883299. The reversal of 1068719883264 is 4623889178601.

1068719883264 is a `hidden beast` number, since 106 + 8 + 7 + 198 + 83 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×10687198832642 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279694474 + ... + 279698294.

Almost surely, 21068719883264 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 1068719883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757501141760).

1068719883264 is an abundant number, since it is smaller than the sum of its proper divisors (2446282400256).

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

1068719883264 is a wasteful number, since it uses less digits than its factorization.

1068719883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1068719883264 in words is "one trillion, sixty-eight billion, seven hundred nineteen million, eight hundred eighty-three thousand, two hundred sixty-four".