Search a number
-
+
56055110000 = 245431717683
BaseRepresentation
bin110100001101001001…
…010001100101110000
312100200120120122000012
4310031021101211300
51404300102010000
641430143314052
74023045400451
oct641511214560
9170616518005
1056055110000
112185571489a
12aa448ab928
135394392a56
1429da9a7128
1516d1266735
hexd0d251970

56055110000 has 100 divisors (see below), whose sum is σ = 136150849032. Its totient is φ = 22350048000.

The previous prime is 56055109997. The next prime is 56055110009. The reversal of 56055110000 is 1155065.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×560551100002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56055110009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3161159 + ... + 3178841.

Almost surely, 256055110000 is an apocalyptic number.

56055110000 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 56055110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68075424516).

56055110000 is an abundant number, since it is smaller than the sum of its proper divisors (80095739032).

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

56055110000 is a wasteful number, since it uses less digits than its factorization.

56055110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18007 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 56055110000 its reverse (1155065), we get a palindrome (56056265065).

The spelling of 56055110000 in words is "fifty-six billion, fifty-five million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 500 625 634 1000 1250 1268 1585 2000 2500 2536 3170 5000 5072 6340 7925 10000 12680 15850 17683 25360 31700 35366 39625 63400 70732 79250 88415 126800 141464 158500 176830 198125 282928 317000 353660 396250 442075 634000 707320 792500 884150 1414640 1585000 1768300 2210375 3170000 3536600 4420750 5605511 7073200 8841500 11051875 11211022 17683000 22103750 22422044 28027555 35366000 44207500 44844088 56055110 88415000 89688176 112110220 140137775 176830000 224220440 280275550 448440880 560551100 700688875 1121102200 1401377750 2242204400 2802755500 3503444375 5605511000 7006888750 11211022000 14013777500 28027555000 56055110000