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1068477696000 = 211335311132347
BaseRepresentation
bin11111000110001100011…
…10111100100000000000
310210010221001021210212000
433203012032330200000
5120001220242233000
62134504001104000
7140123605364421
oct17430616744000
93703831253760
101068477696000
11382158893490
121530b3028000
13799ac211ba0
1439a00bd1648
151cbd83c4000
hexf8c63bc800

1068477696000 has 3072 divisors, whose sum is σ = 4945386700800. Its totient is φ = 223838208000.

The previous prime is 1068477695959. The next prime is 1068477696029. The reversal of 1068477696000 is 6967748601.

It is a happy number.

1068477696000 is a `hidden beast` number, since 106 + 8 + 477 + 6 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×10684776960003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22733567977 + ... + 22733568023.

It is an arithmetic number, because the mean of its divisors is an integer number (1609826400).

Almost surely, 21068477696000 is an apocalyptic number.

1068477696000 is a gapful number since it is divisible by the number (10) 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 1068477696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472693350400).

1068477696000 is an abundant number, since it is smaller than the sum of its proper divisors (3876909004800).

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

1068477696000 is a wasteful number, since it uses less digits than its factorization.

1068477696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1068477696000 in words is "one trillion, sixty-eight billion, four hundred seventy-seven million, six hundred ninety-six thousand".