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56055601008 = 243211103343579
BaseRepresentation
bin110100001101001011…
…001001011101110000
312100200121111120112200
4310031023021131300
51404300213213013
641430202023200
74023052514121
oct641513113560
9170617446480
1056055601008
1121855a1a790
12aa44aa7b00
1353945053a4
1429daa94048
1516d1311e73
hexd0d2c9770

56055601008 has 120 divisors (see below), whose sum is σ = 172801499520. Its totient is φ = 16821578880.

The previous prime is 56055600971. The next prime is 56055601009. The reversal of 56055601008 is 80010655065.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56055601009) 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, 8638 + ... + 334941.

It is an arithmetic number, because the mean of its divisors is an integer number (1440012496).

Almost surely, 256055601008 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 56055601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400749760).

56055601008 is an abundant number, since it is smaller than the sum of its proper divisors (116745898512).

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

56055601008 is a wasteful number, since it uses less digits than its factorization.

56055601008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343707 (or 343698 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56055601008 in words is "fifty-six billion, fifty-five million, six hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 13596 14832 18128 20394 27192 40788 54384 81576 163152 343579 687158 1030737 1374316 2061474 2748632 3092211 3779369 4122948 5497264 6184422 7558738 8245896 11338107 12368844 15117476 16491792 22676214 24737688 30234952 34014321 35388637 45352428 49475376 60469904 68028642 70777274 90704856 106165911 136057284 141554548 181409712 212331822 272114568 283109096 318497733 389275007 424663644 544229136 566218192 636995466 778550014 849327288 1167825021 1273990932 1557100028 1698654576 2335650042 2547981864 3114200056 3503475063 4671300084 5095963728 6228400112 7006950126 9342600168 14013900252 18685200336 28027800504 56055601008