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11424091392 = 283371721943
BaseRepresentation
bin10101010001110110…
…11100110100000000
31002111011102222021000
422220323130310000
5141344031411032
65125333532000
7553046113620
oct125073346400
932434388230
1011424091392
114932668a4a
122269aa4000
131100a526bc
147a5346880
1546ce10e7c
hex2a8edcd00

11424091392 has 864 divisors, whose sum is σ = 44176563200. Its totient is φ = 2842656768.

The previous prime is 11424091391. The next prime is 11424091489. The reversal of 11424091392 is 29319042411.

11424091392 is a `hidden beast` number, since 1 + 142 + 40 + 91 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424091391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265676523 + ... + 265676565.

Almost surely, 211424091392 is an apocalyptic number.

11424091392 is a gapful number since it is divisible by the number (12) 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 11424091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088281600).

11424091392 is an abundant number, since it is smaller than the sum of its proper divisors (32752471808).

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

11424091392 is a wasteful number, since it uses less digits than its factorization.

11424091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11424091392 in words is "eleven billion, four hundred twenty-four million, ninety-one thousand, three hundred ninety-two".