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11006527744 = 28792832
BaseRepresentation
bin10100100000000101…
…00100100100000000
31001102001201112121201
422100002210210000
5140020132341434
65020100030544
7536515641112
oct122002444400
931361645551
1011006527744
114738997223
122172092454
1310653a1914
14765acd3b2
1544642d614
hex2900a4900

11006527744 has 81 divisors (see below), whose sum is σ = 22523006163. Its totient is φ = 5368137216.

The previous prime is 11006527687. The next prime is 11006527747. The reversal of 11006527744 is 44772560011.

The square root of 11006527744 is 104912.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×110065277442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11006527747) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132608727 + ... + 132608809.

Almost surely, 211006527744 is an apocalyptic number.

11006527744 is the 104912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006527744

11006527744 is an abundant number, since it is smaller than the sum of its proper divisors (11516478419).

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

11006527744 is an frugal number, since it uses more digits than its factorization.

11006527744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 11006527744 in words is "eleven billion, six million, five hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 83 128 158 166 256 316 332 632 664 1264 1328 2528 2656 5056 5312 6241 6557 6889 10112 10624 12482 13114 13778 20224 21248 24964 26228 27556 49928 52456 55112 99856 104912 110224 199712 209824 220448 399424 419648 440896 518003 544231 798848 839296 881792 1036006 1088462 1597696 1678592 1763584 2072012 2176924 4144024 4353848 8288048 8707696 16576096 17415392 33152192 34830784 42994249 66304384 69661568 85988498 132608768 139323136 171976996 343953992 687907984 1375815968 2751631936 5503263872 11006527744