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49729946112 = 293571129179
BaseRepresentation
bin101110010100001000…
…101100001000000000
311202100202200000100000
4232110020230020000
51303321331233422
634502353200000
73410232365430
oct562410541000
9152322600300
1049729946112
111a0aa292620
12977a560000
1348c6b28522
14259a9142c0
151460cedcac
hexb9422c200

49729946112 has 960 divisors, whose sum is σ = 193037644800. Its totient is φ = 12401786880.

The previous prime is 49729946111. The next prime is 49729946113. The reversal of 49729946112 is 21164992794.

49729946112 is a `hidden beast` number, since 4 + 97 + 2 + 99 + 461 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49729946111) and next prime (49729946113).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49729946111) 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 95 ways as a sum of consecutive naturals, for example, 277820839 + ... + 277821017.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 249729946112 is an apocalyptic number.

49729946112 is a gapful number since it is divisible by the number (42) 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 49729946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

49729946112 is an abundant number, since it is smaller than the sum of its proper divisors (143307698688).

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

49729946112 is a wasteful number, since it uses less digits than its factorization.

49729946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 49729946112 in words is "forty-nine billion, seven hundred twenty-nine million, nine hundred forty-six thousand, one hundred twelve".