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4200393096045 = 32593342068801
BaseRepresentation
bin111101000111111010111…
…100000011101101101101
3112212112221121122201211100
4331013322330003231231
51022304401113033140
612533344533313313
7612316441135536
oct75077274035555
915775847581740
104200393096045
11137a416442733
1257a093195839
132461316ac903
1410742b70968d
15743ddbcc530
hex3d1faf03b6d

4200393096045 has 12 divisors (see below), whose sum is σ = 7280681366556. Its totient is φ = 2240209651200.

The previous prime is 4200393096037. The next prime is 4200393096091. The reversal of 4200393096045 is 5406903930024.

4200393096045 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 3 + 9 + 30 + 9 + 604 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1006205597604 + 3194187498441 = 1003098^2 + 1787229^2 .

It is not a de Polignac number, because 4200393096045 - 23 = 4200393096037 is a prime.

It is a super-4 number, since 4×42003930960454 (a number of 52 digits) contains 4444 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 (45), and also a Moran number because the ratio is a prime number: 93342068801 = 4200393096045 / (4 + 2 + 0 + 0 + 3 + 9 + 3 + 0 + 9 + 6 + 0 + 4 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46671034356 + ... + 46671034445.

It is an arithmetic number, because the mean of its divisors is an integer number (606723447213).

Almost surely, 24200393096045 is an apocalyptic number.

4200393096045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4200393096045 is a deficient number, since it is larger than the sum of its proper divisors (3080288270511).

4200393096045 is a wasteful number, since it uses less digits than its factorization.

4200393096045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93342068812 (or 93342068809 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 4200393096045 in words is "four trillion, two hundred billion, three hundred ninety-three million, ninety-six thousand, forty-five".

Divisors: 1 3 5 9 15 45 93342068801 280026206403 466710344005 840078619209 1400131032015 4200393096045