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49471503840 = 253351119157349
BaseRepresentation
bin101110000100101110…
…110011110111100000
311201200202100210012000
4232010232303313200
51302304201110330
634421002004000
73400643562423
oct560456636740
9151622323160
1049471503840
1119a87413070
129707aa6600
13488541b2c5
14257447b9ba
15144829d560
hexb84bb3de0

49471503840 has 768 divisors, whose sum is σ = 200672640000. Its totient is φ = 11257159680.

The previous prime is 49471503811. The next prime is 49471503863. The reversal of 49471503840 is 4830517494.

49471503840 is a `hidden beast` number, since 494 + 7 + 150 + 3 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×494715038402 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141751986 + ... + 141752334.

It is an arithmetic number, because the mean of its divisors is an integer number (261292500).

Almost surely, 249471503840 is an apocalyptic number.

49471503840 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 49471503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336320000).

49471503840 is an abundant number, since it is smaller than the sum of its proper divisors (151201136160).

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

49471503840 is a wasteful number, since it uses less digits than its factorization.

49471503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 49471503840 in words is "forty-nine billion, four hundred seventy-one million, five hundred three thousand, eight hundred forty".