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5763985920 = 29345711192
BaseRepresentation
bin1010101111000111…
…10111001000000000
3112212200221211020000
411113203313020000
543301040022140
62351542120000
7262560033450
oct52743671000
915780854200
105763985920
11249868aa30
12114a420000
1370b212274
143c9733d60
1523b067a30
hex1578f7200

5763985920 has 1200 divisors, whose sum is σ = 27164922048. Its totient is φ = 1134673920.

The previous prime is 5763985897. The next prime is 5763985963. The reversal of 5763985920 is 295893675.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 303367671 + ... + 303367689.

Almost surely, 25763985920 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 5763985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582461024).

5763985920 is an abundant number, since it is smaller than the sum of its proper divisors (21400936128).

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

5763985920 is a wasteful number, since it uses less digits than its factorization.

5763985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5763985920 is about 75920.9188563995. The cubic root of 5763985920 is about 1792.9752875604.

The spelling of 5763985920 in words is "five billion, seven hundred sixty-three million, nine hundred eighty-five thousand, nine hundred twenty".