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11045985520824 = 23321732122741777
BaseRepresentation
bin1010000010111101100000…
…0010110000110010111000
31110002222121201112011210100
42200233120002300302320
52421434134243131244
635254242232515400
72220021550516212
oct240573002606270
943088551464710
1011045985520824
113579637949381
1212a495224bb60
1362182a572ac7
142a28b2a635b2
151424e88b8b69
hexa0bd80b0cb8

11045985520824 has 96 divisors (see below), whose sum is σ = 30091274619120. Its totient is φ = 3660451888128.

The previous prime is 11045985520819. The next prime is 11045985520837. The reversal of 11045985520824 is 42802558954011.

It is a happy number.

11045985520824 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 5 + 9 + 8 + 552 + 0 + 82 + 4 = 666.

It is a super-2 number, since 2×110459855208242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264382624 + ... + 264424400.

Almost surely, 211045985520824 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 11045985520824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045637309560).

11045985520824 is an abundant number, since it is smaller than the sum of its proper divisors (19045289098296).

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

11045985520824 is a wasteful number, since it uses less digits than its factorization.

11045985520824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63189 (or 63182 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 11045985520824 in words is "eleven trillion, forty-five billion, nine hundred eighty-five million, five hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 12456 21227 41777 42454 63681 83554 84908 125331 127362 167108 169816 191043 250662 254724 334216 375993 382086 501324 509448 751986 764172 1002648 1503972 1528344 3007944 3672271 7227421 7344542 11016813 14454842 14689084 21682263 22033626 28909684 29378168 33050439 43364526 44067252 57819368 65046789 66100878 86729052 88134504 130093578 132201756 173458104 260187156 264403512 520374312 886800379 1773600758 2660401137 3547201516 5320802274 7094403032 7981203411 10641604548 15962406822 21283209096 31924813644 63849627288 153416465567 306832931134 460249396701 613665862268 920498793402 1227331724536 1380748190103 1840997586804 2761496380206 3681995173608 5522992760412 11045985520824