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1041348566016 = 210341121943127
BaseRepresentation
bin11110010011101010011…
…01100001110000000000
310200112220101001012210000
433021311031201300000
5114030140213103031
62114220001440000
7135143405523123
oct17116515416000
93615811035700
101041348566016
113716a7132600
121499a1640000
137727785b855
1438589b783ba
151c14b8333e6
hexf275361c00

1041348566016 has 1320 divisors, whose sum is σ = 3710628669440. Its totient is φ = 289700167680.

The previous prime is 1041348566009. The next prime is 1041348566077. The reversal of 1041348566016 is 6106658431401.

1041348566016 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 34 + 8 + 5 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×10413485660162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 8199594945 + ... + 8199595071.

Almost surely, 21041348566016 is an apocalyptic number.

1041348566016 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 1041348566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855314334720).

1041348566016 is an abundant number, since it is smaller than the sum of its proper divisors (2669280103424).

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

1041348566016 is a wasteful number, since it uses less digits than its factorization.

1041348566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1041348566016 in words is "one trillion, forty-one billion, three hundred forty-eight million, five hundred sixty-six thousand, sixteen".