Search a number
-
+
49524150060 = 223457211431319
BaseRepresentation
bin101110000111110111…
…101000111100101100
311201211102102111020000
4232013313220330230
51302411140300220
634430122224300
73402153221100
oct560767507454
9151742374200
1049524150060
111a004100a40
129721655090
1348932c2008
14257b463900
15144cbec390
hexb87de8f2c

49524150060 has 720 divisors, whose sum is σ = 201891191040. Its totient is φ = 10043792640.

The previous prime is 49524150031. The next prime is 49524150097. The reversal of 49524150060 is 6005142594.

49524150060 is a `hidden beast` number, since 4 + 9 + 52 + 41 + 500 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49524149997 and 49524150024.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37546081 + ... + 37547399.

It is an arithmetic number, because the mean of its divisors is an integer number (280404432).

Almost surely, 249524150060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49524150060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100945595520).

49524150060 is an abundant number, since it is smaller than the sum of its proper divisors (152367040980).

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

49524150060 is a wasteful number, since it uses less digits than its factorization.

49524150060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 49524150060 in words is "forty-nine billion, five hundred twenty-four million, one hundred fifty thousand, sixty".