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49746093854688 = 253871123337397
BaseRepresentation
bin10110100111110011010100…
…10000001100111111100000
320112010200100210221200000000
423103321222100030333200
523010020000011322223
6253445012351300000
713323015402663450
oct1323715220147740
9215120323850000
1049746093854688
111493a222115080
1256b516221a600
13219b062313cca
14c3da1c113d60
155b4023e5e543
hex2d3e6a40cfe0

49746093854688 has 1728 divisors, whose sum is σ = 192159574483968. Its totient is φ = 12291564257280.

The previous prime is 49746093854623. The next prime is 49746093854693. The reversal of 49746093854688 is 88645839064794.

49746093854688 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 60 + 9 + 3 + 8 + 546 + 8 + 8 = 666.

49746093854688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 287 ways as a sum of consecutive naturals, for example, 125305022106 + ... + 125305022502.

It is an arithmetic number, because the mean of its divisors is an integer number (111203457456).

Almost surely, 249746093854688 is an apocalyptic number.

49746093854688 is a gapful number since it is divisible by the number (48) 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 49746093854688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96079787241984).

49746093854688 is an abundant number, since it is smaller than the sum of its proper divisors (142413480629280).

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

49746093854688 is a wasteful number, since it uses less digits than its factorization.

49746093854688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

The spelling of 49746093854688 in words is "forty-nine trillion, seven hundred forty-six billion, ninety-three million, eight hundred fifty-four thousand, six hundred eighty-eight".