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11340054528 = 21531110487
BaseRepresentation
bin10101000111110101…
…11000000000000000
31002021022022110100120
422203322320000000
5141211023221103
65113132420240
7551005605315
oct124372700000
932238273316
1011340054528
11489a18a8a0
122245917680
1310b950aa4a
1479810cd0c
15465861253
hex2a3eb8000

11340054528 has 128 divisors (see below), whose sum is σ = 32991891840. Its totient is φ = 3436052480.

The previous prime is 11340054521. The next prime is 11340054547. The reversal of 11340054528 is 82545004311.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340054521) 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, 1076101 + ... + 1086587.

It is an arithmetic number, because the mean of its divisors is an integer number (257749155).

Almost surely, 211340054528 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 11340054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495945920).

11340054528 is an abundant number, since it is smaller than the sum of its proper divisors (21651837312).

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

11340054528 is an equidigital number, since it uses as much as digits as its factorization.

11340054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 11340054528 its reverse (82545004311), we get a palindrome (93885058839).

The spelling of 11340054528 in words is "eleven billion, three hundred forty million, fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 10487 11264 12288 16384 16896 20974 22528 24576 31461 32768 33792 41948 45056 49152 62922 67584 83896 90112 98304 115357 125844 135168 167792 180224 230714 251688 270336 335584 346071 360448 461428 503376 540672 671168 692142 922856 1006752 1081344 1342336 1384284 1845712 2013504 2684672 2768568 3691424 4027008 5369344 5537136 7382848 8054016 10738688 11074272 14765696 16108032 21477376 22148544 29531392 32216064 42954752 44297088 59062784 64432128 85909504 88594176 118125568 128864256 171819008 177188352 236251136 257728512 343638016 354376704 472502272 515457024 708753408 945004544 1030914048 1417506816 1890009088 2835013632 3780018176 5670027264 11340054528