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1093204078096 = 24132201072
BaseRepresentation
bin11111110100010000000…
…10100110111000010000
310212111202021100011110111
433322020002212320100
5120402340220444341
62154113325211104
7141660421226104
oct17721002467020
93774667304414
101093204078096
11391697225309
12157a53a00a94
137c11cb56900
143aca8ab1904
151d684049681
hexfe880a6e10

1093204078096 has 45 divisors (see below), whose sum is σ = 2293659462861. Its totient is φ = 504530634816.

The previous prime is 1093204078073. The next prime is 1093204078103. The reversal of 1093204078096 is 6908704023901.

The square root of 1093204078096 is 1045564.

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., 161716579600 + 931487498496 = 402140^2 + 965136^2 .

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 8 ways as a sum of consecutive naturals, for example, 54359275 + ... + 54379381.

Almost surely, 21093204078096 is an apocalyptic number.

1093204078096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1093204078096 is the 1045564-th square number.

It is an amenable number.

1093204078096 is an abundant number, since it is smaller than the sum of its proper divisors (1200455384765).

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

1093204078096 is an frugal number, since it uses more digits than its factorization.

1093204078096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40248 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 1093204078096 by its sum of digits (49), we get a square (53566999826704 = 73189482).

The spelling of 1093204078096 in words is "one trillion, ninety-three billion, two hundred four million, seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 20107 40214 80428 160856 261391 321712 522782 1045564 2091128 3398083 4182256 6796166 13592332 27184664 54369328 404291449 808582898 1617165796 3234331592 5255788837 6468663184 10511577674 21023155348 42046310696 68325254881 84092621392 136650509762 273301019524 546602039048 1093204078096