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49380782880 = 2535111323311009
BaseRepresentation
bin101101111111010100…
…101111001100100000
311201110102122200102110
4231333110233030200
51302112440023010
634404001315320
73365462505012
oct557724571440
9151412580373
1049380782880
1119a4018a070
1296a1635b40
13486c6a6170
1425663c41b2
15144032d120
hexb7f52f320

49380782880 has 768 divisors, whose sum is σ = 197035130880. Its totient is φ = 10218700800.

The previous prime is 49380782851. The next prime is 49380782977. The reversal of 49380782880 is 8828708394.

It is a self number, because there is not a number n which added to its sum of digits gives 49380782880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48939816 + ... + 48940824.

It is an arithmetic number, because the mean of its divisors is an integer number (256556160).

Almost surely, 249380782880 is an apocalyptic number.

49380782880 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 49380782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98517565440).

49380782880 is an abundant number, since it is smaller than the sum of its proper divisors (147654348000).

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

49380782880 is a wasteful number, since it uses less digits than its factorization.

49380782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 49380782880 in words is "forty-nine billion, three hundred eighty million, seven hundred eighty-two thousand, eight hundred eighty".