Search a number
-
+
49150122840 = 23355713181307
BaseRepresentation
bin101101110001100100…
…110101101101011000
311200212100121221100000
4231301210311231120
51301124412412330
634325041413000
73356662102530
oct556144655530
9150770557300
1049150122840
1119931a65835
12963833a160
134833975630
1425439004c0
151429e69560
hexb71935b58

49150122840 has 768 divisors, whose sum is σ = 205676190720. Its totient is φ = 10279249920.

The previous prime is 49150122767. The next prime is 49150122851. The reversal of 49150122840 is 4822105194.

49150122840 is a `hidden beast` number, since 4 + 91 + 501 + 2 + 28 + 40 = 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 = 49150122795 and 49150122804.

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 191 ways as a sum of consecutive naturals, for example, 160097967 + ... + 160098273.

It is an arithmetic number, because the mean of its divisors is an integer number (267807540).

Almost surely, 249150122840 is an apocalyptic number.

49150122840 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 49150122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102838095360).

49150122840 is an abundant number, since it is smaller than the sum of its proper divisors (156526067880).

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

49150122840 is a wasteful number, since it uses less digits than its factorization.

49150122840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 49150122840 in words is "forty-nine billion, one hundred fifty million, one hundred twenty-two thousand, eight hundred forty".