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11304554496 = 21232931723
BaseRepresentation
bin10101000011100110…
…11101000000000000
31002011211111212110120
422201303131000000
5141122431220441
65105423500240
7550065061554
oct124163350000
932154455416
1011304554496
114881143124
122235a57680
1310b205b501
1479350b864
1546269c966
hex2a1cdd000

11304554496 has 104 divisors (see below), whose sum is σ = 31182154080. Its totient is φ = 3638132736.

The previous prime is 11304554477. The next prime is 11304554497. The reversal of 11304554496 is 69445540311.

It is a happy number.

It is a super-3 number, since 3×113045544963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304554497) 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, 340491 + ... + 372213.

Almost surely, 211304554496 is an apocalyptic number.

11304554496 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 11304554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591077040).

11304554496 is an abundant number, since it is smaller than the sum of its proper divisors (19877599584).

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

11304554496 is an equidigital number, since it uses as much as digits as its factorization.

11304554496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31779 (or 31757 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 11304554496 in words is "eleven billion, three hundred four million, five hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 4096 5568 6144 7424 11136 12288 14848 22272 29696 31723 44544 59392 63446 89088 95169 118784 126892 178176 190338 253784 356352 380676 507568 761352 919967 1015136 1522704 1839934 2030272 2759901 3045408 3679868 4060544 5519802 6090816 7359736 8121088 11039604 12181632 14719472 16242176 22079208 24363264 29438944 32484352 44158416 48726528 58877888 64968704 88316832 97453056 117755776 129937408 176633664 194906112 235511552 353267328 389812224 471023104 706534656 942046208 1413069312 1884092416 2826138624 3768184832 5652277248 11304554496