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1045827256320 = 21532571161151
BaseRepresentation
bin11110011100000000010…
…10011000000000000000
310200222110111111020212200
433032000022120000000
5114113323234200240
62120240231353200
7135362401001220
oct17160012300000
93628414436780
101045827256320
11373595248950
1214a831522800
137780c6b3a62
14388928d8080
151c30eb12930
hexf380298000

1045827256320 has 1536 divisors, whose sum is σ = 4624602577920. Its totient is φ = 212336640000.

The previous prime is 1045827256303. The next prime is 1045827256363. The reversal of 1045827256320 is 236527285401.

1045827256320 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 2 + 7 + 2 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6926008245 + ... + 6926008395.

It is an arithmetic number, because the mean of its divisors is an integer number (3010808970).

Almost surely, 21045827256320 is an apocalyptic number.

1045827256320 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 1045827256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312301288960).

1045827256320 is an abundant number, since it is smaller than the sum of its proper divisors (3578775321600).

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

1045827256320 is a wasteful number, since it uses less digits than its factorization.

1045827256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1045827256320 in words is "one trillion, forty-five billion, eight hundred twenty-seven million, two hundred fifty-six thousand, three hundred twenty".