Search a number
-
+
49493283840 = 210325711132937
BaseRepresentation
bin101110000110000001…
…111001010000000000
311201202021100022201200
4232012001321100000
51302330240040330
634423100501200
73401326654110
oct560601712000
9151667308650
1049493283840
1119a98739770
12971324a800
134889aa5990
14257730b040
15144a151a60
hexb86079400

49493283840 has 2112 divisors, whose sum is σ = 244633858560. Its totient is φ = 8918138880.

The previous prime is 49493283821. The next prime is 49493283887. The reversal of 49493283840 is 4838239494.

49493283840 is a `hidden beast` number, since 494 + 9 + 32 + 83 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1337656302 + ... + 1337656338.

Almost surely, 249493283840 is an apocalyptic number.

49493283840 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 49493283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316929280).

49493283840 is an abundant number, since it is smaller than the sum of its proper divisors (195140574720).

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

49493283840 is a wasteful number, since it uses less digits than its factorization.

49493283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

It can be divided in two parts, 49493 and 283840, that added together give a palindrome (333333).

The spelling of 49493283840 in words is "forty-nine billion, four hundred ninety-three million, two hundred eighty-three thousand, eight hundred forty".