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11728988820 = 2232565161049
BaseRepresentation
bin10101110110001101…
…00010101010010100
31010021102011100220100
422323012202222110
5143010110120240
65215504534100
7563440521453
oct127306425224
933242140810
1011728988820
114a7978799a
122334021330
13114bc76693
147d3a32b9a
15489a8ae30
hex2bb1a2a94

11728988820 has 36 divisors (see below), whose sum is σ = 35577933300. Its totient is φ = 3127730304.

The previous prime is 11728988807. The next prime is 11728988833. The reversal of 11728988820 is 2888982711.

It is an interprime number because it is at equal distance from previous prime (11728988807) and next prime (11728988833).

It can be written as a sum of positive squares in 2 ways, for example, as 8382134916 + 3346853904 = 91554^2 + 57852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32580345 + ... + 32580704.

It is an arithmetic number, because the mean of its divisors is an integer number (988275925).

Almost surely, 211728988820 is an apocalyptic number.

11728988820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11728988820 is an abundant number, since it is smaller than the sum of its proper divisors (23848944480).

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

11728988820 is a wasteful number, since it uses less digits than its factorization.

11728988820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65161064 (or 65161059 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 11728988820 in words is "eleven billion, seven hundred twenty-eight million, nine hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 65161049 130322098 195483147 260644196 325805245 390966294 586449441 651610490 781932588 977415735 1172898882 1303220980 1954831470 2345797764 2932247205 3909662940 5864494410 11728988820