Search a number
-
+
11597420640 = 25351319234253
BaseRepresentation
bin10101100110100001…
…01001100001100000
31002221020121000021210
422303100221201200
5142222414430030
65154444550120
7560252306661
oct126320514140
932836530253
1011597420640
114a11494863
1222b7b52340
13112a92c1a0
147c0385368
1547d24cbb0
hex2b3429860

11597420640 has 384 divisors, whose sum is σ = 43223362560. Its totient is φ = 2586304512.

The previous prime is 11597420623. The next prime is 11597420701. The reversal of 11597420640 is 4602479511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2724754 + ... + 2729006.

It is an arithmetic number, because the mean of its divisors is an integer number (112560840).

Almost surely, 211597420640 is an apocalyptic number.

11597420640 is a gapful number since it is divisible by the number (10) 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 11597420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611681280).

11597420640 is an abundant number, since it is smaller than the sum of its proper divisors (31625941920).

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

11597420640 is a wasteful number, since it uses less digits than its factorization.

11597420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 11597420640 in words is "eleven billion, five hundred ninety-seven million, four hundred twenty thousand, six hundred forty".