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49937744256 = 27317233110729
BaseRepresentation
bin101110100000100001…
…011000000110000000
311202220020200020210120
4232200201120012000
51304233030304011
634535135100240
73415334552061
oct564041300600
9152806606716
1049937744256
111a1a6611424
129818071680
13492abb30ca
1425ba366568
151474198a06
hexba0858180

49937744256 has 256 divisors, whose sum is σ = 151298150400. Its totient is φ = 14500823040.

The previous prime is 49937744221. The next prime is 49937744257. The reversal of 49937744256 is 65244773994.

It is a self number, because there is not a number n which added to its sum of digits gives 49937744256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49937744257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4649100 + ... + 4659828.

It is an arithmetic number, because the mean of its divisors is an integer number (591008400).

Almost surely, 249937744256 is an apocalyptic number.

49937744256 is a gapful number since it is divisible by the number (46) 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 49937744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75649075200).

49937744256 is an abundant number, since it is smaller than the sum of its proper divisors (101360406144).

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

49937744256 is a wasteful number, since it uses less digits than its factorization.

49937744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10805 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 49937744256 in words is "forty-nine billion, nine hundred thirty-seven million, seven hundred forty-four thousand, two hundred fifty-six".