Search a number
-
+
49840598426112 = 293413193126183
BaseRepresentation
bin10110101010100011010110…
…01010100010001000000000
320112110201021222222022110000
423111101223022202020000
523013042021144113422
6254000242124240000
713332602330410344
oct1325215312421000
9215421258868400
1049840598426112
111497630851936a
12570b5376a0000
1321a6c43450760
14c4442538b624
155b67059cdcac
hex2d546b2a2200

49840598426112 has 2400 divisors, whose sum is σ = 179241784666560. Its totient is φ = 13662668390400.

The previous prime is 49840598426083. The next prime is 49840598426119. The reversal of 49840598426112 is 21162489504894.

It is a happy number.

49840598426112 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 0 + 5 + 9 + 8 + 4 + 2 + 611 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49840598426112.

It is not an unprimeable number, because it can be changed into a prime (49840598426119) 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 239 ways as a sum of consecutive naturals, for example, 600489137623 + ... + 600489137705.

Almost surely, 249840598426112 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 49840598426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89620892333280).

49840598426112 is an abundant number, since it is smaller than the sum of its proper divisors (129401186240448).

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

49840598426112 is a wasteful number, since it uses less digits than its factorization.

49840598426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 49840598426112 in words is "forty-nine trillion, eight hundred forty billion, five hundred ninety-eight million, four hundred twenty-six thousand, one hundred twelve".