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55790440000 = 265411812
BaseRepresentation
bin110011111101010111…
…101000111001000000
312100000010120000000121
4303331113220321000
51403224323040000
641344010430024
74013352626011
oct637527507100
9170003500017
1055790440000
112172a281359
12a990132314
1353515b4c99
1429b378d008
1516b7dd5b1a
hexcfd5e8e40

55790440000 has 105 divisors (see below), whose sum is σ = 138459398341. Its totient is φ = 22297280000.

The previous prime is 55790439989. The next prime is 55790440007. The reversal of 55790440000 is 4409755.

The square root of 55790440000 is 236200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16542075456 + 39248364544 = 128616^2 + 198112^2 .

It is a super-2 number, since 2×557904400002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55790440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 47239410 + ... + 47240590.

Almost surely, 255790440000 is an apocalyptic number.

55790440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55790440000 is the 236200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55790440000

55790440000 is an abundant number, since it is smaller than the sum of its proper divisors (82668958341).

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

55790440000 is an frugal number, since it uses more digits than its factorization.

55790440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 55790440000 its reverse (4409755), we get a palindrome (55794849755).

The spelling of 55790440000 in words is "fifty-five billion, seven hundred ninety million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1181 1250 1600 2000 2362 2500 4000 4724 5000 5905 8000 9448 10000 11810 18896 20000 23620 29525 37792 40000 47240 59050 75584 94480 118100 147625 188960 236200 295250 377920 472400 590500 738125 944800 1181000 1394761 1476250 1889600 2362000 2789522 2952500 4724000 5579044 5905000 6973805 9448000 11158088 11810000 13947610 22316176 23620000 27895220 34869025 44632352 47240000 55790440 69738050 89264704 111580880 139476100 174345125 223161760 278952200 348690250 446323520 557904400 697380500 871725625 1115808800 1394761000 1743451250 2231617600 2789522000 3486902500 5579044000 6973805000 11158088000 13947610000 27895220000 55790440000