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49868771040 = 253551117193
BaseRepresentation
bin101110011100011010…
…010000111011100000
311202201102220001100000
4232130122100323200
51304112401133130
634524232500000
73413536363014
oct563432207340
9152642801300
1049868771040
111a170691870
1297b8b4a600
134919813a5a
1425b1130544
15146d0c2260
hexb9c690ee0

49868771040 has 1152 divisors, whose sum is σ = 215171873280. Its totient is φ = 10779402240.

The previous prime is 49868771027. The next prime is 49868771041. The reversal of 49868771040 is 4017786894.

It is a happy number.

49868771040 is a `hidden beast` number, since 498 + 6 + 87 + 71 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49868771041) 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 191 ways as a sum of consecutive naturals, for example, 2624672151 + ... + 2624672169.

It is an arithmetic number, because the mean of its divisors is an integer number (186781140).

Almost surely, 249868771040 is an apocalyptic number.

49868771040 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 49868771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107585936640).

49868771040 is an abundant number, since it is smaller than the sum of its proper divisors (165303102240).

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

49868771040 is a wasteful number, since it uses less digits than its factorization.

49868771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 49868771040 in words is "forty-nine billion, eight hundred sixty-eight million, seven hundred seventy-one thousand, forty".