Search a number
-
+
9770001696 = 25327131133299
BaseRepresentation
bin10010001100101011…
…00110010100100000
3221012212222111202200
421012111212110200
5130002110023241
64253245013200
7464052433650
oct110625462440
927185874680
109770001696
114163a02974
121a87b54200
13bc915bbc0
146897b2360
153c2aca4b6
hex246566520

9770001696 has 288 divisors, whose sum is σ = 34508073600. Its totient is φ = 2553126912.

The previous prime is 9770001679. The next prime is 9770001713. The reversal of 9770001696 is 6961000779.

It is an interprime number because it is at equal distance from previous prime (9770001679) and next prime (9770001713).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2959855 + ... + 2963153.

It is an arithmetic number, because the mean of its divisors is an integer number (119819700).

Almost surely, 29770001696 is an apocalyptic number.

9770001696 is a gapful number since it is divisible by the number (96) 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 9770001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254036800).

9770001696 is an abundant number, since it is smaller than the sum of its proper divisors (24738071904).

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

9770001696 is a wasteful number, since it uses less digits than its factorization.

9770001696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9770001696 is about 98843.3189244473. The cubic root of 9770001696 is about 2137.7892049027.

The spelling of 9770001696 in words is "nine billion, seven hundred seventy million, one thousand, six hundred ninety-six".