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1068383644416 = 2835112141937
BaseRepresentation
bin11111000110000001010…
…00001010101100000000
310210010200111022111100000
433203000220022230000
5120001022203110131
62134450401200000
7140121354065514
oct17430050125400
93703614274300
101068383644416
1138210a795100
12153087630000
13799958a1a6a
14399d250c144
151cbceee6ce6
hexf8c0a0ab00

1068383644416 has 324 divisors, whose sum is σ = 3511337755016. Its totient is φ = 323750338560.

The previous prime is 1068383644369. The next prime is 1068383644457. The reversal of 1068383644416 is 6144463838601.

1068383644416 is a `hidden beast` number, since 1 + 0 + 68 + 3 + 83 + 64 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×10683836444162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7456200 + ... + 7598136.

Almost surely, 21068383644416 is an apocalyptic number.

1068383644416 is a gapful number since it is divisible by the number (16) 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 1068383644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755668877508).

1068383644416 is an abundant number, since it is smaller than the sum of its proper divisors (2442954110600).

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

1068383644416 is an equidigital number, since it uses as much as digits as its factorization.

1068383644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141990 (or 141953 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1068383644416 in words is "one trillion, sixty-eight billion, three hundred eighty-three million, six hundred forty-four thousand, four hundred sixteen".