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128565573432976 = 24401270692
BaseRepresentation
bin11101001110111000000001…
…010101011011011010010000
3121212012202012212100200112001
4131032320001111123122100
5113322404243244323401
61133234113054243344
736036361522104361
oct3516700125333220
9555182185320461
10128565573432976
1137a68398561659
1212504a524b6554
1356978b24b09c4
1423a686d6b5b68
15ece443dc9601
hex74ee0155b690

128565573432976 has 45 divisors (see below), whose sum is σ = 249753865011483. Its totient is φ = 64113409574400.

The previous prime is 128565573432913. The next prime is 128565573433001. The reversal of 128565573432976 is 679234375565821.

The square root of 128565573432976 is 11338676.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33187692287376 + 95377881145600 = 5760876^2 + 9766160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128565573432899 and 128565573432908.

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, 18187232770 + ... + 18187239838.

Almost surely, 2128565573432976 is an apocalyptic number.

128565573432976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128565573432976 is the 11338676-th square number.

It is an amenable number.

128565573432976 is a deficient number, since it is larger than the sum of its proper divisors (121188291578507).

128565573432976 is an frugal number, since it uses more digits than its factorization.

128565573432976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14948 (or 7472 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 73.

The spelling of 128565573432976 in words is "one hundred twenty-eight trillion, five hundred sixty-five billion, five hundred seventy-three million, four hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 401 802 1604 3208 6416 7069 14138 28276 56552 113104 160801 321602 643204 1286408 2572816 2834669 5669338 11338676 22677352 45354704 49970761 99941522 199883044 399766088 799532176 1136702269 2273404538 4546809076 9093618152 18187236304 20038275161 40076550322 80153100644 160306201288 320612402576 8035348339561 16070696679122 32141393358244 64282786716488 128565573432976