Search a number
-
+
49070361600 = 21033521343127
BaseRepresentation
bin101101101100110100…
…100100110000000000
311200122210112122111000
4231230310210300000
51300444003032400
634313112052000
73355003122501
oct555464446000
9150583478430
1049070361600
11198a0a37a57
129615694000
134820299b30
14253709aba8
151422e61600
hexb6cd24c00

49070361600 has 1056 divisors, whose sum is σ = 200138301440. Its totient is φ = 11705057280.

The previous prime is 49070361589. The next prime is 49070361601. The reversal of 49070361600 is 616307094.

49070361600 is a `hidden beast` number, since 49 + 0 + 7 + 0 + 3 + 6 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49070361601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386380737 + ... + 386380863.

Almost surely, 249070361600 is an apocalyptic number.

49070361600 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 49070361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100069150720).

49070361600 is an abundant number, since it is smaller than the sum of its proper divisors (151067939840).

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

49070361600 is a wasteful number, since it uses less digits than its factorization.

49070361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 49070361600 its reverse (616307094), we get a palindrome (49686668694).

The spelling of 49070361600 in words is "forty-nine billion, seventy million, three hundred sixty-one thousand, six hundred".