Search a number
-
+
49168600560 = 243654120563
BaseRepresentation
bin101101110010101011…
…010100110111110000
311200220122101201000000
4231302223110313300
51301144130204220
634330541430000
73360305131452
oct556253246760
9150818351000
1049168600560
1119941436382
12964256b300
134837744bb1
1425461502d2
15142b8b9390
hexb72ad4df0

49168600560 has 280 divisors, whose sum is σ = 175586043024. Its totient is φ = 12791208960.

The previous prime is 49168600513. The next prime is 49168600583. The reversal of 49168600560 is 6500686194.

49168600560 is a `hidden beast` number, since 4 + 9 + 1 + 6 + 86 + 0 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2380839 + ... + 2401401.

Almost surely, 249168600560 is an apocalyptic number.

49168600560 is a gapful number since it is divisible by the number (40) 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 49168600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87793021512).

49168600560 is an abundant number, since it is smaller than the sum of its proper divisors (126417442464).

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

49168600560 is a wasteful number, since it uses less digits than its factorization.

49168600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20635 (or 20614 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 49168600560 in words is "forty-nine billion, one hundred sixty-eight million, six hundred thousand, five hundred sixty".