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11055737024 = 2617192572081
BaseRepresentation
bin10100100101111100…
…10010100011000000
31001112111022122001122
422102332102203000
5140120232041044
65025014451412
7540654133313
oct122276224300
931474278048
1011055737024
114763747952
122186663b68
131072641137
1476c45c97a
1544a8eddee
hex292f928c0

11055737024 has 112 divisors (see below), whose sum is σ = 24558772320. Its totient is φ = 4907335680.

The previous prime is 11055736997. The next prime is 11055737027. The reversal of 11055737024 is 42073755011.

It is a super-2 number, since 2×110557370242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11055737027) 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, 5311664 + ... + 5313744.

Almost surely, 211055737024 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 11055737024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279386160).

11055737024 is an abundant number, since it is smaller than the sum of its proper divisors (13503035296).

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

11055737024 is a wasteful number, since it uses less digits than its factorization.

11055737024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 11055737024 in words is "eleven billion, fifty-five million, seven hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 257 272 304 323 514 544 608 646 1028 1088 1216 1292 2056 2081 2584 4112 4162 4369 4883 5168 8224 8324 8738 9766 10336 16448 16648 17476 19532 20672 33296 34952 35377 39064 39539 66592 69904 70754 78128 79078 83011 133184 139808 141508 156256 158156 166022 279616 283016 312512 316312 332044 534817 566032 632624 664088 672163 1069634 1132064 1265248 1328176 1344326 2139268 2264128 2530496 2656352 2688652 4278536 5312704 5377304 8557072 9091889 10161523 10754608 17114144 18183778 20323046 21509216 34228288 36367556 40646092 43018432 72735112 81292184 145470224 162584368 172745891 290940448 325168736 345491782 581880896 650337472 690983564 1381967128 2763934256 5527868512 11055737024