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5750196480 = 28355719139
BaseRepresentation
bin1010101101011110…
…10000100100000000
3112211202000020200000
411112233100210000
543234022241410
62350330400000
7262331602140
oct52657204400
915752006600
105750196480
1124909217a6
121145890000
137083c4932
143c7984920
15239c41dc0
hex156bd0900

5750196480 has 864 divisors, whose sum is σ = 24998937600. Its totient is φ = 1236197376.

The previous prime is 5750196451. The next prime is 5750196509. The reversal of 5750196480 is 846910575.

5750196480 is a `hidden beast` number, since 5 + 7 + 501 + 9 + 64 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5750196451) and next prime (5750196509).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41368251 + ... + 41368389.

Almost surely, 25750196480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5750196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499468800).

5750196480 is an abundant number, since it is smaller than the sum of its proper divisors (19248741120).

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

5750196480 is a wasteful number, since it uses less digits than its factorization.

5750196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5750196480 is about 75830.0499802024. The cubic root of 5750196480 is about 1791.5443409928.

The spelling of 5750196480 in words is "five billion, seven hundred fifty million, one hundred ninety-six thousand, four hundred eighty".