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11286339744 = 253671919187
BaseRepresentation
bin10101000001011011…
…11110000010100000
31002010120020110112010
422200231332002200
5141103300332434
65103533232520
7546454206411
oct124055760240
932116213463
1011286339744
114871932109
12222b932740
1310ab351854
14790d29808
15460ca09e9
hex2a0b7e0a0

11286339744 has 96 divisors (see below), whose sum is σ = 30229549056. Its totient is φ = 3686158080.

The previous prime is 11286339737. The next prime is 11286339761. The reversal of 11286339744 is 44793368211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11286339693 and 11286339702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223919 + ... + 1233105.

It is an arithmetic number, because the mean of its divisors is an integer number (314891136).

Almost surely, 211286339744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286339744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114774528).

11286339744 is an abundant number, since it is smaller than the sum of its proper divisors (18943209312).

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

11286339744 is a wasteful number, since it uses less digits than its factorization.

11286339744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458 (or 9450 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 11286339744 in words is "eleven billion, two hundred eighty-six million, three hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 191 201 268 382 402 536 573 764 804 1072 1146 1528 1608 2144 2292 3056 3216 4584 6112 6432 9168 9187 12797 18336 18374 25594 27561 36748 38391 51188 55122 73496 76782 102376 110244 146992 153564 204752 220488 293984 307128 409504 440976 614256 615529 881952 1228512 1231058 1754717 1846587 2462116 3509434 3693174 4924232 5264151 7018868 7386348 9848464 10528302 14037736 14772696 19696928 21056604 28075472 29545392 42113208 56150944 59090784 84226416 117566039 168452832 235132078 352698117 470264156 705396234 940528312 1410792468 1881056624 2821584936 3762113248 5643169872 11286339744