Search a number
-
+
9142770769920 = 2133251131391579
BaseRepresentation
bin1000010100001011011110…
…0110101010000000000000
31012101001002102012101212200
42011002313212222000000
52144243343304114140
631240044135353200
71632354245202054
oct205026746520000
935331072171780
109142770769920
112a05477825767
121037b1b522800
1351420c7b64c8
142387262c9c64
1510cc577b2030
hex850b79aa000

9142770769920 has 672 divisors, whose sum is σ = 32223893083200. Its totient is φ = 2397592092672.

The previous prime is 9142770769903. The next prime is 9142770769949. The reversal of 9142770769920 is 299670772419.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5790227691 + ... + 5790229269.

It is an arithmetic number, because the mean of its divisors is an integer number (47952221850).

Almost surely, 29142770769920 is an apocalyptic number.

9142770769920 is a gapful number since it is divisible by the number (90) 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 9142770769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111946541600).

9142770769920 is an abundant number, since it is smaller than the sum of its proper divisors (23081122313280).

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

9142770769920 is a wasteful number, since it uses less digits than its factorization.

9142770769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 9142770769920 in words is "nine trillion, one hundred forty-two billion, seven hundred seventy million, seven hundred sixty-nine thousand, nine hundred twenty".