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49430269440 = 293451271877
BaseRepresentation
bin101110000010010001…
…100000111000000000
311201120212202212020000
4232002101200320000
51302213122110230
634412530120000
73366633233466
oct560221407000
9151525685200
1049430269440
1119a6610a052
1296b6120000
134879a11956
14256cbc6836
151444855b60
hexb82460e00

49430269440 has 400 divisors, whose sum is σ = 178532716032. Its totient is φ = 13070647296.

The previous prime is 49430269433. The next prime is 49430269477. The reversal of 49430269440 is 4496203494.

49430269440 is a `hidden beast` number, since 494 + 30 + 2 + 6 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 26333782 + ... + 26335658.

Almost surely, 249430269440 is an apocalyptic number.

49430269440 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 49430269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89266358016).

49430269440 is an abundant number, since it is smaller than the sum of its proper divisors (129102446592).

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

49430269440 is a wasteful number, since it uses less digits than its factorization.

49430269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 49430269440 in words is "forty-nine billion, four hundred thirty million, two hundred sixty-nine thousand, four hundred forty".