Search a number
-
+
11332577088 = 2632719314563
BaseRepresentation
bin10101000110111100…
…10110011101000000
31002020210020120020100
422203132112131000
5141202114431323
65112304242400
7550555213230
oct124336263500
932223216210
1011332577088
114895a42998
122243310400
1310b7ac0421
14797123cc0
15464d85943
hex2a3796740

11332577088 has 168 divisors, whose sum is σ = 37318094528. Its totient is φ = 3220881408.

The previous prime is 11332577057. The next prime is 11332577107. The reversal of 11332577088 is 88077523311.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770895 + ... + 785457.

Almost surely, 211332577088 is an apocalyptic number.

11332577088 is a gapful number since it is divisible by the number (18) 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 11332577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659047264).

11332577088 is an abundant number, since it is smaller than the sum of its proper divisors (25985517440).

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

11332577088 is a wasteful number, since it uses less digits than its factorization.

11332577088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14781 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11332577088 in words is "eleven billion, three hundred thirty-two million, five hundred seventy-seven thousand, eighty-eight".