Search a number
-
+
1075529773056 = 2123498717551
BaseRepresentation
bin11111010011010101001…
…00011111000000000000
310210211010112000102221010
433221222210133000000
5120110141110214211
62142031435400520
7140463426142014
oct17515244370000
93724115012833
101075529773056
11385147577342
121545408b3140
137a56424c74b
143a0ad626544
151ce9c5784a6
hexfa6a91f000

1075529773056 has 104 divisors (see below), whose sum is σ = 2868467755264. Its totient is φ = 358417612800.

The previous prime is 1075529773051. The next prime is 1075529773093. The reversal of 1075529773056 is 6503779255701.

It is a junction number, because it is equal to n+sod(n) for n = 1075529772987 and 1075529773005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075529773051) 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 7 ways as a sum of consecutive naturals, for example, 61271481 + ... + 61289031.

Almost surely, 21075529773056 is an apocalyptic number.

1075529773056 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 1075529773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434233877632).

1075529773056 is an abundant number, since it is smaller than the sum of its proper divisors (1792937982208).

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

1075529773056 is an equidigital number, since it uses as much as digits as its factorization.

1075529773056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22543 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 57.

The spelling of 1075529773056 in words is "one trillion, seventy-five billion, five hundred twenty-nine million, seven hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4987 6144 9974 12288 14961 17551 19948 29922 35102 39896 52653 59844 70204 79792 105306 119688 140408 159584 210612 239376 280816 319168 421224 478752 561632 638336 842448 957504 1123264 1276672 1684896 1915008 2246528 2553344 3369792 3830016 4493056 5106688 6739584 7660032 8986112 10213376 13479168 15320064 17972224 20426752 26958336 30640128 35944448 53916672 61280256 71888896 87526837 107833344 175053674 215666688 262580511 350107348 525161022 700214696 1050322044 1400429392 2100644088 2800858784 4201288176 5601717568 8402576352 11203435136 16805152704 22406870272 33610305408 44813740544 67220610816 89627481088 134441221632 179254962176 268882443264 358509924352 537764886528 1075529773056