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11002552092 = 22327298091861
BaseRepresentation
bin10100011111100110…
…11001111100011100
31001101210020120001100
422033303121330130
5140013123131332
65015434513100
7536440102230
oct121763317434
931353216040
1011002552092
114736721264
122170895790
13106460c16c
147653765c0
15445de567c
hex28fcd9f1c

11002552092 has 144 divisors (see below), whose sum is σ = 32939524800. Its totient is φ = 3029806080.

The previous prime is 11002552081. The next prime is 11002552097. The reversal of 11002552092 is 29025520011.

11002552092 is a `hidden beast` number, since 1 + 100 + 2 + 552 + 0 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002552097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911242 + ... + 5913102.

It is an arithmetic number, because the mean of its divisors is an integer number (228746700).

Almost surely, 211002552092 is an apocalyptic number.

11002552092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002552092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469762400).

11002552092 is an abundant number, since it is smaller than the sum of its proper divisors (21936972708).

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

11002552092 is a wasteful number, since it uses less digits than its factorization.

11002552092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11002552092 in words is "eleven billion, two million, five hundred fifty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 809 812 1044 1218 1618 1827 1861 2427 2436 3236 3654 3722 4854 5583 5663 7281 7308 7444 9708 11166 11326 13027 14562 16749 16989 22332 22652 23461 26054 29124 33498 33978 39081 46922 50967 52108 53969 66996 67956 70383 78162 93844 101934 107938 117243 140766 156324 161907 164227 203868 211149 215876 234486 281532 323814 328454 377783 422298 468972 485721 492681 647628 656908 755566 844596 971442 985362 1133349 1478043 1505549 1511132 1942884 1970724 2266698 2956086 3011098 3400047 4516647 4533396 5912172 6022196 6800094 9033294 10538843 13549941 13600188 18066588 21077686 27099882 31616529 42155372 43660921 54199764 63233058 87321842 94849587 126466116 130982763 174643684 189699174 261965526 305626447 379398348 392948289 523931052 611252894 785896578 916879341 1222505788 1571793156 1833758682 2750638023 3667517364 5501276046 11002552092