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11052055224 = 2332791124071
BaseRepresentation
bin10100100101100000…
…01111101010111000
31001112020101120120200
422102300033222320
5140113311231344
65024403522200
7540610630230
oct122260175270
931466346520
1011052055224
114761662741
122185389360
131071952362
1476bb80cc0
1544a423069
hex292c0fab8

11052055224 has 96 divisors (see below), whose sum is σ = 34247715840. Its totient is φ = 3154132800.

The previous prime is 11052055219. The next prime is 11052055229. The reversal of 11052055224 is 42255025011.

11052055224 is a `hidden beast` number, since 1 + 105 + 2 + 0 + 552 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11052055219) and next prime (11052055229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052055229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447109 + ... + 471179.

It is an arithmetic number, because the mean of its divisors is an integer number (356747040).

Almost surely, 211052055224 is an apocalyptic number.

11052055224 is a gapful number since it is divisible by the number (14) 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 11052055224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123857920).

11052055224 is an abundant number, since it is smaller than the sum of its proper divisors (23195660616).

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

11052055224 is a wasteful number, since it uses less digits than its factorization.

11052055224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 11052055224 in words is "eleven billion, fifty-two million, fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 911 1822 2733 3644 5466 6377 7288 8199 10932 12754 16398 19131 21864 24071 25508 32796 38262 48142 51016 57393 65592 72213 76524 96284 114786 144426 153048 168497 192568 216639 229572 288852 336994 433278 459144 505491 577704 673988 866556 1010982 1347976 1516473 1733112 2021964 3032946 4043928 6065892 12131784 21928681 43857362 65786043 87714724 131572086 153500767 175429448 197358129 263144172 307001534 394716258 460502301 526288344 614003068 789432516 921004602 1228006136 1381506903 1578865032 1842009204 2763013806 3684018408 5526027612 11052055224