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11728302986576 = 241126058007741
BaseRepresentation
bin1010101010101011010101…
…0101010101010101010000
31112112012210121012202122102
42222222311111111111100
53014124031031032301
640535524044055532
72320225165342601
oct252526525252520
945465717182572
1011728302986576
113811a44309300
121395034b345a8
13670c884b4017
142c791d779da8
151551303c6b6b
hexaaab5555550

11728302986576 has 30 divisors (see below), whose sum is σ = 24977165920266. Its totient is φ = 5331046811200.

The previous prime is 11728302986573. The next prime is 11728302986671. The reversal of 11728302986576 is 67568920382711.

It can be written as a sum of positive squares in only one way, i.e., 7573636096576 + 4154666890000 = 2752024^2 + 2038300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728302986573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3029001935 + ... + 3029005806.

Almost surely, 211728302986576 is an apocalyptic number.

11728302986576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11728302986576 is an abundant number, since it is smaller than the sum of its proper divisors (13248862933690).

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

11728302986576 is a wasteful number, since it uses less digits than its factorization.

11728302986576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058007771 (or 6058007754 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 65.

The spelling of 11728302986576 in words is "eleven trillion, seven hundred twenty-eight billion, three hundred two million, nine hundred eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6058007741 12116015482 24232030964 48464061928 66638085151 96928123856 133276170302 266552340604 533104681208 733018936661 1066209362416 1466037873322 2932075746644 5864151493288 11728302986576