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5776769880 = 23335719131307
BaseRepresentation
bin1010110000101001…
…01000001101011000
3112220121000022112000
411120110220031120
543312323114010
62353120121000
7263103506460
oct53024501530
915817008460
105776769880
1124a4921792
121152766160
13710a6a03b
143cb300ba0
1523c2407c0
hex158528358

5776769880 has 512 divisors, whose sum is σ = 23417856000. Its totient is φ = 1237317120.

The previous prime is 5776769857. The next prime is 5776769891. The reversal of 5776769880 is 889676775.

It is a super-5 number, since 5×57767698805 (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 18816687 + ... + 18816993.

It is an arithmetic number, because the mean of its divisors is an integer number (45738000).

Almost surely, 25776769880 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 5776769880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708928000).

5776769880 is an abundant number, since it is smaller than the sum of its proper divisors (17641086120).

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

5776769880 is a wasteful number, since it uses less digits than its factorization.

5776769880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 5776769880 is about 76005.0648312335. The cubic root of 5776769880 is about 1794.2998570377.

The spelling of 5776769880 in words is "five billion, seven hundred seventy-six million, seven hundred sixty-nine thousand, eight hundred eighty".