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49753831488480 = 253257193172711527
BaseRepresentation
bin10110101000000001101110…
…11100111011101111100000
320112011102100001200012010100
423110000313130323233200
523010131321330112410
6253452332235502400
713323411216535530
oct1324006734735740
9215142301605110
1049753831488480
1114942532882949
1256b67615b7a00
13219b9c63a4b42
14c40153a034c0
155b43283d18c0
hex2d403773bbe0

49753831488480 has 1152 divisors, whose sum is σ = 211149695877120. Its totient is φ = 10410976604160.

The previous prime is 49753831488479. The next prime is 49753831488593. The reversal of 49753831488480 is 8488413835794.

It is a happy number.

49753831488480 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 38 + 31 + 4 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49753831488399 and 49753831488408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4316280477 + ... + 4316292003.

It is an arithmetic number, because the mean of its divisors is an integer number (183289666560).

Almost surely, 249753831488480 is an apocalyptic number.

49753831488480 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 49753831488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105574847938560).

49753831488480 is an abundant number, since it is smaller than the sum of its proper divisors (161395864388640).

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

49753831488480 is a wasteful number, since it uses less digits than its factorization.

49753831488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12332 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

It can be divided in two parts, 497538314 and 88480, that added together give a palindrome (497626794).

The spelling of 49753831488480 in words is "forty-nine trillion, seven hundred fifty-three billion, eight hundred thirty-one million, four hundred eighty-eight thousand, four hundred eighty".