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1036943036416 = 2127222732
BaseRepresentation
bin11110001011011101001…
…11110001000000000000
310200010112100021010022001
433011232213301000000
5113442124404131131
62112210503553344
7134626262244400
oct17055647610000
93603470233261
101036943036416
1136a846346a51
12148b7215b854
1376a24c109c1
143828ca20800
151be8eba6261
hexf16e9f1000

1036943036416 has 117 divisors (see below), whose sum is σ = 2413246926261. Its totient is φ = 444208644096.

The previous prime is 1036943036387. The next prime is 1036943036461. The reversal of 1036943036416 is 6146303496301.

The square root of 1036943036416 is 1018304.

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., 923444121600 + 113498914816 = 960960^2 + 336896^2 .

It is a Duffinian number.

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, 456199056 + ... + 456201328.

Almost surely, 21036943036416 is an apocalyptic number.

1036943036416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1036943036416 is the 1018304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036943036416

1036943036416 is an abundant number, since it is smaller than the sum of its proper divisors (1376303889845).

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

1036943036416 is an frugal number, since it uses more digits than its factorization.

1036943036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 1036943036416 in words is "one trillion, thirty-six billion, nine hundred forty-three million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2273 3136 3584 4096 4546 6272 7168 9092 12544 14336 15911 18184 25088 28672 31822 36368 50176 63644 72736 100352 111377 127288 145472 200704 222754 254576 290944 445508 509152 581888 891016 1018304 1163776 1782032 2036608 2327552 3564064 4073216 4655104 5166529 7128128 8146432 9310208 10333058 14256256 16292864 20666116 28512512 32585728 36165703 41332232 57025024 65171456 72331406 82664464 114050048 144662812 165328928 228100096 253159921 289325624 330657856 456200192 506319842 578651248 661315712 1012639684 1157302496 1322631424 2025279368 2314604992 2645262848 4050558736 4629209984 5290525696 8101117472 9258419968 10581051392 16202234944 18516839936 21162102784 32404469888 37033679872 64808939776 74067359744 129617879552 148134719488 259235759104 518471518208 1036943036416