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11347683584 = 28193241953
BaseRepresentation
bin10101001000101111…
…11110100100000000
31002021211200001110012
422210113332210000
5141220001333314
65114004124052
7551130501416
oct124427764400
932254601405
1011347683584
1148a35206a6
122248396628
1310bac7c393
147991372b6
1546636b93e
hex2a45fe900

11347683584 has 72 divisors (see below), whose sum is σ = 22886868312. Its totient is φ = 5615124480.

The previous prime is 11347683569. The next prime is 11347683593. The reversal of 11347683584 is 48538674311.

It can be written as a sum of positive squares in 4 ways, for example, as 1315657984 + 10032025600 = 36272^2 + 100160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11906852 + ... + 11907804.

It is an arithmetic number, because the mean of its divisors is an integer number (317873171).

Almost surely, 211347683584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11347683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443434156).

11347683584 is an abundant number, since it is smaller than the sum of its proper divisors (11539184728).

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

11347683584 is an equidigital number, since it uses as much as digits as its factorization.

11347683584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1389 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 11347683584 in words is "eleven billion, three hundred forty-seven million, six hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 193 241 256 386 482 772 953 964 1544 1906 1928 3088 3812 3856 6176 7624 7712 12352 15248 15424 24704 30496 30848 46513 49408 60992 61696 93026 121984 183929 186052 229673 243968 367858 372104 459346 735716 744208 918692 1471432 1488416 1837384 2942864 2976832 3674768 5885728 5953664 7349536 11771456 11907328 14699072 23542912 29398144 44326889 47085824 58796288 88653778 177307556 354615112 709230224 1418460448 2836920896 5673841792 11347683584