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11344553088 = 273114362459
BaseRepresentation
bin10101001000011000…
…00010010010000000
31002021121210000012220
422210030002102000
5141213201144323
65113413051040
7551062052541
oct124414022200
932247700186
1011344553088
1148a1782710
122247326a80
1310ba42450b
147989604c8
15465e4e0e3
hex2a4302480

11344553088 has 128 divisors (see below), whose sum is σ = 33638457600. Its totient is φ = 3357742080.

The previous prime is 11344553083. The next prime is 11344553107. The reversal of 11344553088 is 88035544311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11344553083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150403 + ... + 212861.

It is an arithmetic number, because the mean of its divisors is an integer number (262800450).

Almost surely, 211344553088 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 11344553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819228800).

11344553088 is an abundant number, since it is smaller than the sum of its proper divisors (22293904512).

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

11344553088 is a wasteful number, since it uses less digits than its factorization.

11344553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62530 (or 62518 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11344553088 in words is "eleven billion, three hundred forty-four million, five hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3784 4128 4224 5504 5676 7568 8256 11352 15136 16512 22704 30272 45408 60544 62459 90816 124918 181632 187377 249836 374754 499672 687049 749508 999344 1374098 1499016 1998688 2061147 2685737 2748196 2998032 3997376 4122294 5371474 5496392 5996064 7994752 8057211 8244588 10742948 10992784 11992128 16114422 16489176 21485896 21985568 23984256 29543107 32228844 32978352 42971792 43971136 59086214 64457688 65956704 85943584 87942272 88629321 118172428 128915376 131913408 171887168 177258642 236344856 257830752 263826816 343774336 354517284 472689712 515661504 709034568 945379424 1031323008 1418069136 1890758848 2836138272 3781517696 5672276544 11344553088