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9630247453696 = 21037226212
BaseRepresentation
bin1000110000100011011101…
…1110101000010000000000
31021002122100111120201212101
42030020313132220100000
52230240221322004241
632252024040440144
72012522336510422
oct214106736502000
937078314521771
109630247453696
11308318a69a341
1210b64a6479054
1354b18924299c
1425416c1ca812
1511a788c52e31
hex8c2377a8400

9630247453696 has 99 divisors (see below), whose sum is σ = 19793003961927. Its totient is φ = 4683197767680.

The previous prime is 9630247453669. The next prime is 9630247453699. The reversal of 9630247453696 is 6963547420369.

The square root of 9630247453696 is 3103264.

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 5026922726400 + 4603324727296 = 2242080^2 + 2145536^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9630247453699) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3674263266 + ... + 3674265886.

Almost surely, 29630247453696 is an apocalyptic number.

9630247453696 is the 3103264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9630247453696

9630247453696 is an abundant number, since it is smaller than the sum of its proper divisors (10162756508231).

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

9630247453696 is an frugal number, since it uses more digits than its factorization.

9630247453696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 64.

Multiplying 9630247453696 by its sum of digits (64), we get a square (616335837036544 = 248261122).

9630247453696 divided by its sum of digits (64) gives a square (150472616464 = 3879082).

The spelling of 9630247453696 in words is "nine trillion, six hundred thirty billion, two hundred forty-seven million, four hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2368 2621 2738 4736 5242 5476 9472 10484 10952 18944 20968 21904 37888 41936 43808 83872 87616 96977 167744 175232 193954 335488 350464 387908 670976 700928 775816 1341952 1401856 1551632 2683904 3103264 3588149 6206528 6869641 7176298 12413056 13739282 14352596 24826112 27478564 28705192 49652224 54957128 57410384 99304448 109914256 114820768 219828512 229641536 254176717 439657024 459283072 508353434 879314048 918566144 1016706868 1758628096 1837132288 2033413736 3517256192 3674264576 4066827472 7034512384 8133654944 9404538529 16267309888 18809077058 32534619776 37618154116 65069239552 75236308232 130138479104 150472616464 260276958208 300945232928 601890465856 1203780931712 2407561863424 4815123726848 9630247453696