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40009000506 = 23173753200023
BaseRepresentation
bin100101010000101110…
…001110011000111010
310211021021222210212120
4211100232032120322
51123414301004011
630214015422110
72614313615226
oct452056163072
9124237883776
1040009000506
1115a71046282
127906b24936
133a07bb41c7
141d17871786
1510926b3a06
hex950b8e63a

40009000506 has 64 divisors (see below), whose sum is σ = 88657037568. Its totient is φ = 11982117888.

The previous prime is 40009000501. The next prime is 40009000519. The reversal of 40009000506 is 60500090004.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40009000501) 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 31 ways as a sum of consecutive naturals, for example, 100011 + ... + 300033.

It is an arithmetic number, because the mean of its divisors is an integer number (1385266212).

Almost surely, 240009000506 is an apocalyptic number.

It is a pronic number, being equal to 200022×200023.

40009000506 is an abundant number, since it is smaller than the sum of its proper divisors (48648037062).

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

40009000506 is a wasteful number, since it uses less digits than its factorization.

40009000506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200135.

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 40009000506 in words is "forty billion, nine million, five hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 17 34 37 51 53 74 102 106 111 159 222 318 629 901 1258 1802 1887 1961 2703 3774 3922 5406 5883 11766 33337 66674 100011 200022 200023 400046 600069 1200138 3400391 6800782 7400851 10201173 10601219 14801702 20402346 21202438 22202553 31803657 44405106 63607314 125814467 180220723 251628934 360441446 377443401 392245103 540662169 754886802 784490206 1081324338 1176735309 2353470618 6668166751 13336333502 20004500253 40009000506