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49229468640 = 253251123163829
BaseRepresentation
bin101101110110010011…
…100001001111100000
311201001212221010022100
4231312103201033200
51301310220444030
634340554210400
73361644402432
oct556623411740
9151055833270
1049229468640
111997282a480
12965aa23a00
134847237001
142550276652
151431dde360
hexb764e13e0

49229468640 has 576 divisors, whose sum is σ = 192641379840. Its totient is φ = 11331809280.

The previous prime is 49229468611. The next prime is 49229468657. The reversal of 49229468640 is 4686492294.

49229468640 is a `hidden beast` number, since 492 + 2 + 94 + 6 + 8 + 64 + 0 = 666.

49229468640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59383746 + ... + 59384574.

It is an arithmetic number, because the mean of its divisors is an integer number (334446840).

Almost surely, 249229468640 is an apocalyptic number.

49229468640 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 49229468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96320689920).

49229468640 is an abundant number, since it is smaller than the sum of its proper divisors (143411911200).

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

49229468640 is a wasteful number, since it uses less digits than its factorization.

49229468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49229468640 in words is "forty-nine billion, two hundred twenty-nine million, four hundred sixty-eight thousand, six hundred forty".