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56154527300 = 22527319339857
BaseRepresentation
bin110100010011000100…
…100001011001000100
312100221111122112220102
4310103010201121010
51410001024333200
641444054223232
74025363415014
oct642304413104
9170844575812
1056154527300
11218a6848553
12aa72054b18
1353abb61261
142a09c85c44
1516d9d536d5
hexd13121644

56154527300 has 72 divisors (see below), whose sum is σ = 124167714216. Its totient is φ = 22038773760.

The previous prime is 56154527287. The next prime is 56154527309. The reversal of 56154527300 is 372545165.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5677019716 + 50477507584 = 75346^2 + 224672^2 .

It is not an unprimeable number, because it can be changed into a prime (56154527309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388972 + ... + 1428828.

Almost surely, 256154527300 is an apocalyptic number.

56154527300 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 56154527300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62083857108).

56154527300 is an abundant number, since it is smaller than the sum of its proper divisors (68013186916).

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

56154527300 is a wasteful number, since it uses less digits than its factorization.

56154527300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40137 (or 40130 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 56154527300 in words is "fifty-six billion, one hundred fifty-four million, five hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 193 292 365 386 730 772 965 1460 1825 1930 3650 3860 4825 7300 9650 14089 19300 28178 39857 56356 70445 79714 140890 159428 199285 281780 352225 398570 704450 797140 996425 1408900 1992850 2909561 3985700 5819122 7692401 11638244 14547805 15384802 29095610 30769604 38462005 58191220 72739025 76924010 145478050 153848020 192310025 290956100 384620050 561545273 769240100 1123090546 2246181092 2807726365 5615452730 11230905460 14038631825 28077263650 56154527300