Search a number
-
+
11597345690 = 257414040887
BaseRepresentation
bin10101100110100000…
…10111001110011010
31002221020110012110212
422303100113032122
5142222410030230
65154443211122
7560251545320
oct126320271632
932836405425
1011597345690
114a11443517
1222b7b16aa2
13112a904038
147c0365d10
1547d235895
hex2b341739a

11597345690 has 32 divisors (see below), whose sum is σ = 24439290624. Its totient is φ = 3879250560.

The previous prime is 11597345689. The next prime is 11597345743. The reversal of 11597345690 is 9654379511.

11597345690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115973456902 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2017574 + ... + 2023313.

It is an arithmetic number, because the mean of its divisors is an integer number (763727832).

Almost surely, 211597345690 is an apocalyptic number.

11597345690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11597345690 is an abundant number, since it is smaller than the sum of its proper divisors (12841944934).

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

11597345690 is a wasteful number, since it uses less digits than its factorization.

11597345690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040942.

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 11597345690 in words is "eleven billion, five hundred ninety-seven million, three hundred forty-five thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 4040887 8081774 20204435 28286209 40408870 56572418 141431045 165676367 282862090 331352734 828381835 1159734569 1656763670 2319469138 5798672845 11597345690