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5040666450 = 234521244609
BaseRepresentation
bin1001011000111001…
…00111011101010010
3111000021220101110000
410230130213131102
540310402311300
62152102550430
7235624646361
oct45434473522
914007811400
105040666450
112157363346
12b88138416
136243c9891
1435b6497d8
151e77dac00
hex12c727752

5040666450 has 60 divisors (see below), whose sum is σ = 14005596330. Its totient is φ = 1344176640.

The previous prime is 5040666431. The next prime is 5040666451. The reversal of 5040666450 is 546660405.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3005122761 + 2035543689 = 54819^2 + 45117^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5040666451) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 618255 + ... + 626354.

Almost surely, 25040666450 is an apocalyptic number.

5040666450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5040666450 is an abundant number, since it is smaller than the sum of its proper divisors (8964929880).

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

5040666450 is a wasteful number, since it uses less digits than its factorization.

5040666450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244633 (or 1244619 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5040666450 is about 70997.6510174809. The cubic root of 5040666450 is about 1714.5993448496.

The spelling of 5040666450 in words is "five billion, forty million, six hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 1244609 2489218 3733827 6223045 7467654 11201481 12446090 18669135 22402962 31115225 33604443 37338270 56007405 62230450 67208886 93345675 100813329 112014810 168022215 186691350 201626658 280037025 336044430 504066645 560074050 840111075 1008133290 1680222150 2520333225 5040666450