Search a number
-
+
563001336666150 = 235253891960340591
BaseRepresentation
bin1000000000000010111111011…
…0101011100001100000100110
32201211102101212011102010002120
42000000233312223201200212
51042243203214141304100
65313223124333050410
7226405334652012324
oct20000576653414046
92654371764363076
10563001336666150
11153431587151718
1253189520626a06
131b21ba4b977295
149d055a53d2d14
154514e542290a0
hex2000bf6ae1826

563001336666150 has 192 divisors, whose sum is σ = 1438680485698560. Its totient is φ = 145634893747200.

The previous prime is 563001336666127. The next prime is 563001336666229. The reversal of 563001336666150 is 51666633100365.

It is a junction number, because it is equal to n+sod(n) for n = 563001336666093 and 563001336666102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13870082355 + ... + 13870122945.

It is an arithmetic number, because the mean of its divisors is an integer number (7493127529680).

Almost surely, 2563001336666150 is an apocalyptic number.

563001336666150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 563001336666150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719340242849280).

563001336666150 is an abundant number, since it is smaller than the sum of its proper divisors (875679149032410).

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

563001336666150 is a wasteful number, since it uses less digits than its factorization.

563001336666150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60351 (or 60346 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 563001336666150 in words is "five hundred sixty-three trillion, one billion, three hundred thirty-six million, six hundred sixty-six thousand, one hundred fifty".