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4000557509 = 132326949739
BaseRepresentation
bin1110111001110011…
…1010100111000101
3101022210202101012122
43232130322213011
531143120320014
61500545455325
7201065114654
oct35634724705
911283671178
104000557509
111773235083
12937941545
134b9a883c0
1429d45b19b
1518633558e
hexee73a9c5

4000557509 has 16 divisors (see below), whose sum is σ = 4512412800. Its totient is φ = 3519062976.

The previous prime is 4000557467. The next prime is 4000557523. The reversal of 4000557509 is 9057550004.

It is a de Polignac number, because none of the positive numbers 2k-4000557509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000557529) 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 15 ways as a sum of consecutive naturals, for example, 55562 + ... + 105300.

It is an arithmetic number, because the mean of its divisors is an integer number (282025800).

Almost surely, 24000557509 is an apocalyptic number.

It is an amenable number.

4000557509 is a deficient number, since it is larger than the sum of its proper divisors (511855291).

4000557509 is a wasteful number, since it uses less digits than its factorization.

4000557509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50044.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 4000557509 is about 63249.9605454422. The cubic root of 4000557509 is about 1587.4747977399.

The spelling of 4000557509 in words is "four billion, five hundred fifty-seven thousand, five hundred nine".

Divisors: 1 13 23 269 299 3497 6187 49739 80431 646607 1143997 13379791 14871961 173937283 307735193 4000557509