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1119553216 = 26413311289
BaseRepresentation
bin100001010111011…
…0000011011000000
32220000122012021221
41002232300123000
54243101200331
6303031524424
736513021355
oct10256603300
92800565257
101119553216
11524a5a9a1
12272b29714
1314ac38932
14a898c62c
1568449711
hex42bb06c0

1119553216 has 56 divisors (see below), whose sum is σ = 2284445520. Its totient is φ = 544051200.

The previous prime is 1119553199. The next prime is 1119553217. The reversal of 1119553216 is 6123559111.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1119553217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867900 + ... + 869188.

It is an arithmetic number, because the mean of its divisors is an integer number (40793670).

Almost surely, 21119553216 is an apocalyptic number.

1119553216 is a gapful number since it is divisible by the number (16) 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 1119553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142222760).

1119553216 is an abundant number, since it is smaller than the sum of its proper divisors (1164892304).

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

1119553216 is a wasteful number, since it uses less digits than its factorization.

1119553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its digits is 8100, while the sum is 34.

The square root of 1119553216 is about 33459.7252827933. The cubic root of 1119553216 is about 1038.3607113323.

The spelling of 1119553216 in words is "one billion, one hundred nineteen million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 331 656 662 1289 1312 1324 2578 2624 2648 5156 5296 10312 10592 13571 20624 21184 27142 41248 52849 54284 82496 105698 108568 211396 217136 422792 426659 434272 845584 853318 868544 1691168 1706636 3382336 3413272 6826544 13653088 17493019 27306176 34986038 69972076 139944152 279888304 559776608 1119553216