Search a number
-
+
56655111000 = 23353179105503
BaseRepresentation
bin110100110000111010…
…000110001101011000
312102020101120211122110
4310300322012031120
51412012202023000
642005455352320
74043652332505
oct646072061530
9172211524573
1056655111000
1122033373494
12ab918226a0
13545b78bc27
142a565504ac
151718c84850
hexd30e86358

56655111000 has 128 divisors (see below), whose sum is σ = 177753139200. Its totient is φ = 15023484800.

The previous prime is 56655110989. The next prime is 56655111041. The reversal of 56655111000 is 11155665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484249 + ... + 589751.

It is an arithmetic number, because the mean of its divisors is an integer number (1388696400).

Almost surely, 256655111000 is an apocalyptic number.

56655111000 is a gapful number since it is divisible by the number (50) 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 56655111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88876569600).

56655111000 is an abundant number, since it is smaller than the sum of its proper divisors (121098028200).

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

56655111000 is a wasteful number, since it uses less digits than its factorization.

56655111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105706 (or 105692 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 56655111000 its reverse (11155665), we get a palindrome (56666266665).

The spelling of 56655111000 in words is "fifty-six billion, six hundred fifty-five million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 300 358 375 500 537 600 716 750 895 1000 1074 1432 1500 1790 2148 2685 3000 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 22375 26850 35800 44750 53700 67125 89500 105503 107400 134250 179000 211006 268500 316509 422012 527515 537000 633018 844024 1055030 1266036 1582545 2110060 2532072 2637575 3165090 4220120 5275150 6330180 7912725 10550300 12660360 13187875 15825450 18885037 21100600 26375750 31650900 37770074 39563625 52751500 56655111 63301800 75540148 79127250 94425185 105503000 113310222 151080296 158254500 188850370 226620444 283275555 316509000 377700740 453240888 472125925 566551110 755401480 944251850 1133102220 1416377775 1888503700 2266204440 2360629625 2832755550 3777007400 4721259250 5665511100 7081888875 9442518500 11331022200 14163777750 18885037000 28327555500 56655111000