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11344112004 = 22329211154493
BaseRepresentation
bin10101001000010100…
…10110100110000100
31002021120221121011110
422210022112212010
5141213043041004
65113355405020
7551055234561
oct124412264604
932246847143
1011344112004
1148a1501285
122247153770
1310ba2cb814
14798887868
15465db3589
hex2a4296984

11344112004 has 48 divisors (see below), whose sum is σ = 27512291520. Its totient is φ = 3633651840.

The previous prime is 11344111993. The next prime is 11344112011. The reversal of 11344112004 is 40021144311.

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 15 ways as a sum of consecutive naturals, for example, 3819 + ... + 150674.

It is an arithmetic number, because the mean of its divisors is an integer number (573172740).

Almost surely, 211344112004 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 11344112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756145760).

11344112004 is an abundant number, since it is smaller than the sum of its proper divisors (16168179516).

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

11344112004 is a wasteful number, since it uses less digits than its factorization.

11344112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154740 (or 154738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11344112004 its reverse (40021144311), we get a palindrome (51365256315).

The spelling of 11344112004 in words is "eleven billion, three hundred forty-four million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 211 348 422 633 844 1266 2532 6119 12238 18357 24476 36714 73428 154493 308986 463479 617972 926958 1853916 4480297 8960594 13440891 17921188 26881782 32598023 53763564 65196046 97794069 130392092 195588138 391176276 945342667 1890685334 2836028001 3781370668 5672056002 11344112004