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5763040080 = 24357232937139
BaseRepresentation
bin1010101111000000…
…10000001101010000
3112212122011202202220
411113200100031100
543300314240310
62351505541040
7262546014060
oct52740201520
915778152686
105763040080
1124980a4346
12114a044780
1370ac708b5
143c95693a0
1523ae2c670
hex157810350

5763040080 has 640 divisors, whose sum is σ = 22798540800. Its totient is φ = 1175150592.

The previous prime is 5763040061. The next prime is 5763040093. The reversal of 5763040080 is 800403675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41460651 + ... + 41460789.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 25763040080 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 5763040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399270400).

5763040080 is an abundant number, since it is smaller than the sum of its proper divisors (17035500720).

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

5763040080 is a wasteful number, since it uses less digits than its factorization.

5763040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5763040080 is about 75914.6894876084. The cubic root of 5763040080 is about 1792.8772095672.

The spelling of 5763040080 in words is "five billion, seven hundred sixty-three million, forty thousand, eighty".