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10752030864 = 243286412
BaseRepresentation
bin10100000001101111…
…01111100010010000
31000202022211202112100
422000313233202100
5134010004441424
64534525200400
7530305516521
oct120067574220
930668752470
1010752030864
114618271a23
122100a00100
131024746453
1473dda2848
1542de0bdc9
hex280def890

10752030864 has 45 divisors (see below), whose sum is σ = 30094235769. Its totient is φ = 3583595520.

The previous prime is 10752030853. The next prime is 10752030881. The reversal of 10752030864 is 46803025701.

The square root of 10752030864 is 103692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 299013264 + 10453017600 = 17292^2 + 102240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1239984 + ... + 1248624.

Almost surely, 210752030864 is an apocalyptic number.

10752030864 is the 103692-nd square number.

It is an amenable number.

10752030864 is an abundant number, since it is smaller than the sum of its proper divisors (19342204905).

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

10752030864 is an frugal number, since it uses more digits than its factorization.

10752030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17296 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 10752030864 by its sum of digits (36), we get a square (387073111104 = 6221522).

10752030864 divided by its sum of digits (36) gives a square (298667524 = 172822).

It can be divided in two parts, 107520 and 30864, that added together give a square (138384 = 3722).

The spelling of 10752030864 in words is "ten billion, seven hundred fifty-two million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8641 17282 25923 34564 51846 69128 77769 103692 138256 155538 207384 311076 414768 622152 1244304 74666881 149333762 224000643 298667524 448001286 597335048 672001929 896002572 1194670096 1344003858 1792005144 2688007716 3584010288 5376015432 10752030864