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11830184136 = 23342329101271
BaseRepresentation
bin10110000010010001…
…00100100011001000
31010112110120121210000
423001020210203020
5143212011343021
65233521523000
7566106622521
oct130110444310
933473517700
1011830184136
115020915491
122361aa3460
131166c18274
14803255848
154938c9b26
hex2c12248c8

11830184136 has 320 divisors, whose sum is σ = 36255859200. Its totient is φ = 3592512000.

The previous prime is 11830184089. The next prime is 11830184143. The reversal of 11830184136 is 63148103811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11830184136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43653681 + ... + 43653951.

It is an arithmetic number, because the mean of its divisors is an integer number (113299560).

Almost surely, 211830184136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830184136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127929600).

11830184136 is an abundant number, since it is smaller than the sum of its proper divisors (24425675064).

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

11830184136 is a wasteful number, since it uses less digits than its factorization.

11830184136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 11830184136 its reverse (63148103811), we get a palindrome (74978287947).

The spelling of 11830184136 in words is "eleven billion, eight hundred thirty million, one hundred eighty-four thousand, one hundred thirty-six".