Search a number
-
+
562144219693056 = 2163473111317127
BaseRepresentation
bin111111111010001000110011…
…0100001110000000000000000
32201201101110111012121111210000
41333310101212201300000000
51042140132330220134211
65311325253413440000
7226256402543652000
oct17764214641600000
92651343435544700
10562144219693056
1115313102aa46730
125306b395940000
131b188c8464aa10
149cb5cd5452000
1544ec9db86e656
hex1ff4466870000

562144219693056 has 5440 divisors, whose sum is σ = 2455521443020800. Its totient is φ = 125852775874560.

The previous prime is 562144219693009. The next prime is 562144219693129. The reversal of 562144219693056 is 650396912441265.

562144219693056 is a `hidden beast` number, since 5 + 6 + 21 + 442 + 1 + 96 + 9 + 30 + 56 = 666.

It is a super-2 number, since 2×5621442196930562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 562144219692984 and 562144219693002.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 4426332438465 + ... + 4426332438591.

Almost surely, 2562144219693056 is an apocalyptic number.

562144219693056 is a gapful number since it is divisible by the number (56) 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 562144219693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227760721510400).

562144219693056 is an abundant number, since it is smaller than the sum of its proper divisors (1893377223327744).

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

562144219693056 is a wasteful number, since it uses less digits than its factorization.

562144219693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 562144219693056 in words is "five hundred sixty-two trillion, one hundred forty-four billion, two hundred nineteen million, six hundred ninety-three thousand, fifty-six".