Search a number
-
+
49810135140 = 2236519179807
BaseRepresentation
bin101110011000111010…
…100101100001100100
311202120100120001000000
4232120322211201210
51304002343311030
634514340021300
73412225106613
oct563072454144
9152510501000
1049810135140
111a140582847
1297a1391830
13490a62395c
1425a742987a
151467d8d860
hexb98ea5864

49810135140 has 168 divisors, whose sum is σ = 165085320960. Its totient is φ = 12583543104.

The previous prime is 49810135139. The next prime is 49810135147. The reversal of 49810135140 is 4153101894.

49810135140 is a `hidden beast` number, since 498 + 10 + 13 + 5 + 140 = 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 = 49810135095 and 49810135104.

It is not an unprimeable number, because it can be changed into a prime (49810135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 187117 + ... + 366923.

It is an arithmetic number, because the mean of its divisors is an integer number (982650720).

Almost surely, 249810135140 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 49810135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82542660480).

49810135140 is an abundant number, since it is smaller than the sum of its proper divisors (115275185820).

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

49810135140 is a wasteful number, since it uses less digits than its factorization.

49810135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179853 (or 179836 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 49810135140 in words is "forty-nine billion, eight hundred ten million, one hundred thirty-five thousand, one hundred forty".