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49286365920 = 25335112813691
BaseRepresentation
bin101101111001101100…
…100100001011100000
311201012211222210201000
4231321230210023200
51301414302202140
634350345512000
73363235124631
oct557154441340
9151184883630
1049286365920
11199a1961220
129675aa2600
134855c6893c
142557a47888
151436dcca30
hexb79b242e0

49286365920 has 384 divisors, whose sum is σ = 188905167360. Its totient is φ = 11902464000.

The previous prime is 49286365907. The next prime is 49286365937. The reversal of 49286365920 is 2956368294.

It is a happy number.

49286365920 is a `hidden beast` number, since 49 + 2 + 8 + 6 + 3 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13351275 + ... + 13354965.

It is an arithmetic number, because the mean of its divisors is an integer number (491940540).

Almost surely, 249286365920 is an apocalyptic number.

49286365920 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 49286365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94452583680).

49286365920 is an abundant number, since it is smaller than the sum of its proper divisors (139618801440).

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

49286365920 is a wasteful number, since it uses less digits than its factorization.

49286365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 49286365920 in words is "forty-nine billion, two hundred eighty-six million, three hundred sixty-five thousand, nine hundred twenty".