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11430687856 = 2472103353401
BaseRepresentation
bin10101010010101001…
…00111010001110000
31002111121212002220111
422221110213101300
5141402224002411
65130131151104
7553156146400
oct125124472160
932447762814
1011430687856
114936363a75
122270145494
131102222033
147a6182800
1546d7b5721
hex2a9527470

11430687856 has 120 divisors (see below), whose sum is σ = 26151656544. Its totient is φ = 4825497600.

The previous prime is 11430687841. The next prime is 11430687881. The reversal of 11430687856 is 65878603411.

It is a happy number.

It is a super-2 number, since 2×114306878562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28505256 + ... + 28505656.

Almost surely, 211430687856 is an apocalyptic number.

11430687856 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 11430687856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075828272).

11430687856 is an abundant number, since it is smaller than the sum of its proper divisors (14720968688).

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

11430687856 is a wasteful number, since it uses less digits than its factorization.

11430687856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 11430687856 in words is "eleven billion, four hundred thirty million, six hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 353 392 401 412 706 721 784 802 824 1412 1442 1604 1648 2471 2807 2824 2884 3208 4942 5047 5614 5648 5768 6416 9884 10094 11228 11536 17297 19649 19768 20188 22456 34594 36359 39298 39536 40376 41303 44912 69188 72718 78596 80752 82606 138376 141553 145436 157192 165212 254513 276752 283106 289121 290872 314384 330424 509026 566212 578242 581744 660848 990871 1018052 1132424 1156484 1781591 1981742 2023847 2036104 2264848 2312968 3563182 3963484 4047694 4072208 4625936 6936097 7126364 7926968 8095388 13872194 14252728 14579959 15853936 16190776 27744388 28505456 29159918 32381552 55488776 58319836 102059713 110977552 116639672 204119426 233279344 408238852 714417991 816477704 1428835982 1632955408 2857671964 5715343928 11430687856