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5763331840 = 285717157241
BaseRepresentation
bin1010101111000010…
…10111011100000000
3112212122201120222211
411113201113130000
543300403104330
62351520111504
7262551340510
oct52741273400
915778646884
105763331840
112498283572
12114a165594
1370b043636
143c9603840
1523ae88d2a
hex157857700

5763331840 has 288 divisors, whose sum is σ = 16881346944. Its totient is φ = 1840250880.

The previous prime is 5763331837. The next prime is 5763331843. The reversal of 5763331840 is 481333675.

It is an interprime number because it is at equal distance from previous prime (5763331837) and next prime (5763331843).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5763331793 and 5763331802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5763331843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23914120 + ... + 23914360.

It is an arithmetic number, because the mean of its divisors is an integer number (58615788).

Almost surely, 25763331840 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 5763331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440673472).

5763331840 is an abundant number, since it is smaller than the sum of its proper divisors (11118015104).

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

5763331840 is a wasteful number, since it uses less digits than its factorization.

5763331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 5763331840 is about 75916.6110940155. The cubic root of 5763331840 is about 1792.9074644917.

The spelling of 5763331840 in words is "five billion, seven hundred sixty-three million, three hundred thirty-one thousand, eight hundred forty".