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49459910300640 = 253257311091452127
BaseRepresentation
bin10110011111011110010000…
…11000100101001111100000
320111010022200012002211000100
423033233020120211033200
522440322344014110030
6253105322532422400
713263234453626460
oct1317571030451740
9214108605084010
1049459910300640
1114839914a47154
1256697b3a77a00
13217a084a77808
14c2dc2dd47ba0
155ab874727360
hex2cfbc86253e0

49459910300640 has 576 divisors, whose sum is σ = 200942916894720. Its totient is φ = 10840062504960.

The previous prime is 49459910300629. The next prime is 49459910300677. The reversal of 49459910300640 is 4600301995494.

It is a happy number.

49459910300640 is a `hidden beast` number, since 4 + 9 + 4 + 599 + 1 + 0 + 3 + 0 + 0 + 6 + 40 = 666.

49459910300640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33334257 + ... + 34786383.

It is an arithmetic number, because the mean of its divisors is an integer number (348859230720).

Almost surely, 249459910300640 is an apocalyptic number.

49459910300640 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 49459910300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100471458447360).

49459910300640 is an abundant number, since it is smaller than the sum of its proper divisors (151483006594080).

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

49459910300640 is a wasteful number, since it uses less digits than its factorization.

49459910300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452295 (or 1452284 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 49459910300640 in words is "forty-nine trillion, four hundred fifty-nine billion, nine hundred ten million, three hundred thousand, six hundred forty".