Search a number
-
+
49002909120 = 26335112192467
BaseRepresentation
bin101101101000110011…
…010000110111000000
311200111002121201002000
4231220303100313000
51300324221042440
634302302224000
73353223566154
oct555063206700
9150432551060
1049002909120
1119866956a00
1295b6b85000
13480c310a19
14252c13d064
15141c08a730
hexb68cd0dc0

49002909120 has 672 divisors, whose sum is σ = 200097542400. Its totient is φ = 11249694720.

The previous prime is 49002909077. The next prime is 49002909143. The reversal of 49002909120 is 2190920094.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19862127 + ... + 19864593.

It is an arithmetic number, because the mean of its divisors is an integer number (297764200).

Almost surely, 249002909120 is an apocalyptic number.

49002909120 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 49002909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100048771200).

49002909120 is an abundant number, since it is smaller than the sum of its proper divisors (151094633280).

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

49002909120 is a wasteful number, since it uses less digits than its factorization.

49002909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 49002909120 in words is "forty-nine billion, two million, nine hundred nine thousand, one hundred twenty".