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56433220000 = 25544168821
BaseRepresentation
bin110100100011101011…
…101001100110100000
312101122221001121102021
4310203223221212200
51411033401020000
641531451431224
74035316312123
oct644353514640
9171587047367
1056433220000
1121a2a0994a3
12ab2b455514
13542480b891
142a34cb03ba
15170455411a
hexd23ae99a0

56433220000 has 120 divisors (see below), whose sum is σ = 142222452372. Its totient is φ = 22022400000.

The previous prime is 56433219971. The next prime is 56433220033. The reversal of 56433220000 is 2233465.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 37649969296 + 18783250704 = 194036^2 + 137052^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 785590 + ... + 854410.

Almost surely, 256433220000 is an apocalyptic number.

56433220000 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 56433220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71111226186).

56433220000 is an abundant number, since it is smaller than the sum of its proper divisors (85789232372).

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

56433220000 is an equidigital number, since it uses as much as digits as its factorization.

56433220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68892 (or 68869 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 56433220000 its reverse (2233465), we get a palindrome (56435453465).

The spelling of 56433220000 in words is "fifty-six billion, four hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3280 4000 4100 5000 5125 6560 8200 10000 10250 16400 20000 20500 25625 32800 41000 51250 68821 82000 102500 137642 164000 205000 275284 344105 410000 550568 688210 820000 1101136 1376420 1720525 2202272 2752840 2821661 3441050 5505680 5643322 6882100 8602625 11011360 11286644 13764200 14108305 17205250 22573288 27528400 28216610 34410500 43013125 45146576 55056800 56433220 68821000 70541525 86026250 90293152 112866440 137642000 141083050 172052500 225732880 275284000 282166100 344105000 352707625 451465760 564332200 688210000 705415250 1128664400 1376420000 1410830500 1763538125 2257328800 2821661000 3527076250 5643322000 7054152500 11286644000 14108305000 28216610000 56433220000