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1049690407936 = 21010123172
BaseRepresentation
bin11110100011001100110…
…11001000010000000000
310201100102201200200122011
433101212123020100000
5114144231221023221
62122115432222304
7135560210152012
oct17214633102000
93640381620564
101049690407936
11375197962935
1214b52b23a994
1377ca6b5c7a1
1438b3b9c81b2
151c488d551e1
hexf4666c8400

1049690407936 has 99 divisors (see below), whose sum is σ = 2126043924487. Its totient is φ = 518009446400.

The previous prime is 1049690407921. The next prime is 1049690407957. The reversal of 1049690407936 is 6397040969401.

The square root of 1049690407936 is 1024544.

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 1638630400 + 1048051777536 = 40480^2 + 1023744^2 .

It is a super-2 number, since 2×10496904079362 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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, 3311326050 + ... + 3311326366.

Almost surely, 21049690407936 is an apocalyptic number.

1049690407936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1049690407936 is the 1024544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049690407936

1049690407936 is an abundant number, since it is smaller than the sum of its proper divisors (1076353516551).

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

1049690407936 is an frugal number, since it uses more digits than its factorization.

1049690407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 1049690407936 in words is "one trillion, forty-nine billion, six hundred ninety million, four hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 317 404 512 634 808 1024 1268 1616 2536 3232 5072 6464 10144 10201 12928 20288 20402 25856 32017 40576 40804 51712 64034 81152 81608 100489 103424 128068 162304 163216 200978 256136 324608 326432 401956 512272 652864 803912 1024544 1305728 1607824 2049088 2611456 3215648 3233717 4098176 5222912 6431296 6467434 8196352 10149389 10445824 12862592 12934868 16392704 20298778 25725184 25869736 32785408 40597556 51450368 51739472 81195112 102900736 103478944 162390224 206957888 324780448 413915776 649560896 827831552 1025088289 1299121792 1655663104 2050176578 2598243584 3311326208 4100353156 5196487168 8200706312 10392974336 16401412624 32802825248 65605650496 131211300992 262422601984 524845203968 1049690407936