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11387366496 = 25321117211441
BaseRepresentation
bin10101001101011110…
…10110110001100000
31002101121100011011200
422212233112301200
5141310131211441
65121542441200
7552122006142
oct124657266140
932347304150
1011387366496
114913964aa0
122259733200
1310c62647ac
147a0506c92
15469aa97b6
hex2a6bd6c60

11387366496 has 144 divisors (see below), whose sum is σ = 37404935568. Its totient is φ = 3247718400.

The previous prime is 11387366491. The next prime is 11387366509. The reversal of 11387366496 is 69466378311.

It is a happy number.

11387366496 is a `hidden beast` number, since 1 + 13 + 87 + 3 + 66 + 496 = 666.

11387366496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11387366491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51865 + ... + 159576.

It is an arithmetic number, because the mean of its divisors is an integer number (259756497).

Almost surely, 211387366496 is an apocalyptic number.

11387366496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11387366496 is an abundant number, since it is smaller than the sum of its proper divisors (26017569072).

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

11387366496 is a wasteful number, since it uses less digits than its factorization.

11387366496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211485 (or 211474 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 11387366496 in words is "eleven billion, three hundred eighty-seven million, three hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 211441 422882 634323 845764 1268646 1691528 1902969 2325851 2537292 3383056 3594497 3805938 4651702 5074584 6766112 6977553 7188994 7611876 9303404 10149168 10783491 13955106 14377988 15223752 18606808 20298336 20932659 21566982 27910212 28755976 30447504 32350473 37213616 39539467 41865318 43133964 55820424 57511952 60895008 64700946 74427232 79078934 83730636 86267928 111640848 115023904 118618401 129401892 158157868 167461272 172535856 223281696 237236802 258803784 316315736 334922544 345071712 355855203 474473604 517607568 632631472 669845088 711710406 948947208 1035215136 1265262944 1423420812 1897894416 2846841624 3795788832 5693683248 11387366496