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11283411264 = 263279721011
BaseRepresentation
bin10101000001000101…
…10011000101000000
31002010100201200101220
422200202303011000
5141102023130024
65103350355040
7546420261516
oct124042630500
932110650356
1011283411264
114870211984
12222a95ba80
1310aa867918
147907a64b6
154608c2e79
hex2a08b3140

11283411264 has 56 divisors (see below), whose sum is σ = 29866120608. Its totient is φ = 3759613440.

The previous prime is 11283411239. The next prime is 11283411283. The reversal of 11283411264 is 46211438211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526519 + ... + 547529.

Almost surely, 211283411264 is an apocalyptic number.

It is an amenable number.

11283411264 is an abundant number, since it is smaller than the sum of its proper divisors (18582709344).

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

11283411264 is a wasteful number, since it uses less digits than its factorization.

11283411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23823 (or 23813 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 11283411264 its reverse (46211438211), we get a palindrome (57494849475).

The spelling of 11283411264 in words is "eleven billion, two hundred eighty-three million, four hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2797 5594 8391 11188 16782 21011 22376 33564 42022 44752 63033 67128 84044 89504 126066 134256 168088 179008 252132 268512 336176 504264 537024 672352 1008528 1344704 2017056 4034112 58767767 117535534 176303301 235071068 352606602 470142136 705213204 940284272 1410426408 1880568544 2820852816 3761137088 5641705632 11283411264