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1056606381792 = 2534132172331199
BaseRepresentation
bin11110110000000101010…
…01011110011011100000
310202000021201022120020000
433120002221132123200
5114302412213204132
62125222005420000
7136223456026053
oct17300251363340
93660251276200
101056606381792
11378116836405
1215093b40a600
1378839925900
14391d6310a9a
151c7410c287c
hexf602a5e6e0

1056606381792 has 1440 divisors, whose sum is σ = 3856920883200. Its totient is φ = 281817169920.

The previous prime is 1056606381767. The next prime is 1056606381799. The reversal of 1056606381792 is 2971836066501.

1056606381792 is a `hidden beast` number, since 1 + 0 + 566 + 0 + 6 + 3 + 8 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×10566063817922 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056606381799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5309579709 + ... + 5309579907.

It is an arithmetic number, because the mean of its divisors is an integer number (2678417280).

Almost surely, 21056606381792 is an apocalyptic number.

1056606381792 is a gapful number since it is divisible by the number (12) 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 1056606381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928460441600).

1056606381792 is an abundant number, since it is smaller than the sum of its proper divisors (2800314501408).

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

1056606381792 is a wasteful number, since it uses less digits than its factorization.

1056606381792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1056606381792 in words is "one trillion, fifty-six billion, six hundred six million, three hundred eighty-one thousand, seven hundred ninety-two".