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1133334016 = 2923157613
BaseRepresentation
bin100001110001101…
…0100111000000000
32220222120022222221
41003203110320000
54310113142031
6304243140424
740041115543
oct10343247000
92828508887
101133334016
11531812691
12277674714
13150a52359
14aa73885a
156976ca11
hex438d4e00

1133334016 has 80 divisors (see below), whose sum is σ = 2381838624. Its totient is φ = 537698304.

The previous prime is 1133333969. The next prime is 1133334023. The reversal of 1133334016 is 6104333311.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1848526 + ... + 1849138.

Almost surely, 21133334016 is an apocalyptic number.

1133334016 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 1133334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190919312).

1133334016 is an abundant number, since it is smaller than the sum of its proper divisors (1248504608).

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

1133334016 is an equidigital number, since it uses as much as digits as its factorization.

1133334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 1133334016 is about 33665.0266003162. The cubic root of 1133334016 is about 1042.6038107973.

Adding to 1133334016 its reverse (6104333311), we get a palindrome (7237667327).

The spelling of 1133334016 in words is "one billion, one hundred thirty-three million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 157 184 256 314 368 512 613 628 736 1226 1256 1472 2452 2512 2944 3611 4904 5024 5888 7222 9808 10048 11776 14099 14444 19616 20096 28198 28888 39232 40192 56396 57776 78464 80384 96241 112792 115552 156928 192482 225584 231104 313856 384964 451168 462208 769928 902336 924416 1539856 1804672 1848832 2213543 3079712 3609344 4427086 6159424 7218688 8854172 12318848 17708344 24637696 35416688 49275392 70833376 141666752 283333504 566667008 1133334016