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11434444504 = 237272974821
BaseRepresentation
bin10101010011000101…
…11100011011011000
31002111212220222001121
422221202330123120
5141404204211004
65130343455024
7553233113620
oct125142743330
932455828047
1011434444504
11493849a43a
122271457474
131102c38bc2
147a687d880
1546dca8854
hex2a98bc6d8

11434444504 has 32 divisors (see below), whose sum is σ = 24511687200. Its totient is φ = 4898615040.

The previous prime is 11434444499. The next prime is 11434444523. The reversal of 11434444504 is 40544443411.

11434444504 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 2×114344445042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11434444504.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 115414 + ... + 190234.

It is an arithmetic number, because the mean of its divisors is an integer number (765990225).

Almost surely, 211434444504 is an apocalyptic number.

11434444504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11434444504 is an abundant number, since it is smaller than the sum of its proper divisors (13077242696).

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

11434444504 is a wasteful number, since it uses less digits than its factorization.

11434444504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77563 (or 77559 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 11434444504 its reverse (40544443411), we get a palindrome (51978887915).

The spelling of 11434444504 in words is "eleven billion, four hundred thirty-four million, four hundred forty-four thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 56 2729 5458 10916 19103 21832 38206 74821 76412 149642 152824 299284 523747 598568 1047494 2094988 4189976 204186509 408373018 816746036 1429305563 1633492072 2858611126 5717222252 11434444504