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13002011776 = 27131492292
BaseRepresentation
bin11000001101111101…
…01111010010000000
31020120010120122002201
430012332233102000
5203112003334101
65550102122544
7640126163605
oct140676572200
936503518081
1013002011776
115572329986
12262a420454
1312c29275c0
148b4b306ac
155116ece01
hex306faf480

13002011776 has 96 divisors (see below), whose sum is σ = 28205320500. Its totient is φ = 5934624768.

The previous prime is 13002011773. The next prime is 13002011819. The reversal of 13002011776 is 67711020031.

It can be written as a sum of positive squares in 6 ways, for example, as 7881178176 + 5120833600 = 88776^2 + 71560^2 .

It is not an unprimeable number, because it can be changed into a prime (13002011773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56777230 + ... + 56777458.

Almost surely, 213002011776 is an apocalyptic number.

13002011776 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 13002011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102660250).

13002011776 is an abundant number, since it is smaller than the sum of its proper divisors (15203308724).

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

13002011776 is an equidigital number, since it uses as much as digits as its factorization.

13002011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 13002011776 in words is "thirteen billion, two million, eleven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 149 208 229 298 416 458 596 832 916 1192 1664 1832 1937 2384 2977 3664 3874 4768 5954 7328 7748 9536 11908 14656 15496 19072 23816 29312 30992 34121 47632 52441 61984 68242 95264 104882 123968 136484 190528 209764 247936 272968 381056 419528 443573 545936 681733 839056 887146 1091872 1363466 1678112 1774292 2183744 2726932 3356224 3548584 4367488 5453864 6712448 7097168 7813709 10907728 14194336 15627418 21815456 28388672 31254836 43630912 56777344 62509672 87261824 101578217 125019344 203156434 250038688 406312868 500077376 812625736 1000154752 1625251472 3250502944 6501005888 13002011776