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5768261016 = 2337316167271
BaseRepresentation
bin1010101111101000…
…01010110110011000
3112220000000000112220
411113310022312120
543303133323031
62352213504040
7262641260340
oct52764126630
915800000486
105768261016
1124a003a971
12114b942020
1370c07b0cb
143ca127d20
1523b60e596
hex157d0ad98

5768261016 has 256 divisors, whose sum is σ = 17614110720. Its totient is φ = 1539648000.

The previous prime is 5768261003. The next prime is 5768261069. The reversal of 5768261016 is 6101628675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21284961 + ... + 21285231.

It is an arithmetic number, because the mean of its divisors is an integer number (68805120).

Almost surely, 25768261016 is an apocalyptic number.

5768261016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768261016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807055360).

5768261016 is an abundant number, since it is smaller than the sum of its proper divisors (11845849704).

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

5768261016 is a wasteful number, since it uses less digits than its factorization.

5768261016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5768261016 is about 75949.0685657171. The cubic root of 5768261016 is about 1793.4184558420.

The spelling of 5768261016 in words is "five billion, seven hundred sixty-eight million, two hundred sixty-one thousand, sixteen".