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11466881536 = 29112271683
BaseRepresentation
bin10101010110111101…
…01011101000000000
31002121010221221022011
422223132223220000
5141441010202121
65133503022304
7554105612335
oct125336535000
932533857264
1011466881536
114954834900
12228029a994
131109885206
147aacc498c
15471a647e1
hex2ab7aba00

11466881536 has 120 divisors (see below), whose sum is σ = 25313504832. Its totient is φ = 5185382400.

The previous prime is 11466881533. The next prime is 11466881551. The reversal of 11466881536 is 63518866411.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11466881536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11466881533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16788651 + ... + 16789333.

Almost surely, 211466881536 is an apocalyptic number.

11466881536 is a gapful number since it is divisible by the number (16) 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 11466881536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656752416).

11466881536 is an abundant number, since it is smaller than the sum of its proper divisors (13846623296).

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

11466881536 is an equidigital number, since it uses as much as digits as its factorization.

11466881536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 967 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The spelling of 11466881536 in words is "eleven billion, four hundred sixty-six million, eight hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 271 352 484 512 542 683 704 968 1084 1366 1408 1936 2168 2732 2816 2981 3872 4336 5464 5632 5962 7513 7744 8672 10928 11924 15026 15488 17344 21856 23848 30052 30976 32791 34688 43712 47696 60104 61952 65582 69376 82643 87424 95392 120208 131164 138752 165286 174848 185093 190784 240416 262328 330572 349696 370186 381568 480832 524656 661144 740372 763136 961664 1049312 1322288 1480744 1526272 1923328 2036023 2098624 2644576 2961488 3846656 4072046 4197248 5289152 5922976 8144092 8394496 10578304 11845952 16288184 16788992 21156608 22396253 23691904 32576368 42313216 44792506 47383808 65152736 89585012 94767616 130305472 179170024 260610944 358340048 521221888 716680096 1042443776 1433360192 2866720384 5733440768 11466881536