Search a number
-
+
11709038592 = 2143517173
BaseRepresentation
bin10101110011110100…
…11100000000000000
31010020000121210100000
422321322130000000
5142440003213332
65213513200000
7563106120516
oct127172340000
933200553300
1011709038592
114a694a0aa9
122329400000
131147aacb04
147d111c4b6
15487e49b7c
hex2b9e9c000

11709038592 has 360 divisors, whose sum is σ = 37355952816. Its totient is φ = 3652190208.

The previous prime is 11709038573. The next prime is 11709038623. The reversal of 11709038592 is 29583090711.

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 23 ways as a sum of consecutive naturals, for example, 67682218 + ... + 67682390.

Almost surely, 211709038592 is an apocalyptic number.

11709038592 is a gapful number since it is divisible by the number (12) 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 11709038592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677976408).

11709038592 is an abundant number, since it is smaller than the sum of its proper divisors (25646914224).

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

11709038592 is an frugal number, since it uses more digits than its factorization.

11709038592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11709038592 in words is "eleven billion, seven hundred nine million, thirty-eight thousand, five hundred ninety-two".