Search a number
-
+
11492389440 = 2632572313771
BaseRepresentation
bin10101011001111111…
…11111001001000000
31002122220221212120100
422230333333021000
5142014022430230
65140213442400
7554535461400
oct125477771100
932586855510
1011492389440
114968177314
122288940400
131111c4664c
147b0444800
15473e02660
hex2acfff240

11492389440 has 1008 divisors, whose sum is σ = 49435536384. Its totient is φ = 2438553600.

The previous prime is 11492389429. The next prime is 11492389451. The reversal of 11492389440 is 4498329411.

11492389440 is a `hidden beast` number, since 1 + 1 + 492 + 38 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11492389429) and next prime (11492389451).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161864605 + ... + 161864675.

Almost surely, 211492389440 is an apocalyptic number.

11492389440 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 11492389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24717768192).

11492389440 is an abundant number, since it is smaller than the sum of its proper divisors (37943146944).

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

11492389440 is a wasteful number, since it uses less digits than its factorization.

11492389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11492389440 in words is "eleven billion, four hundred ninety-two million, three hundred eighty-nine thousand, four hundred forty".