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383285710803856 = 2472181238632
BaseRepresentation
bin101011100100110001010100…
…0101000111101001110010000
31212021002202102012100112120111
41113021202220220331032100
5400214223113431210411
63435103005202251104
7143506323135620200
oct12711425050751620
91767082365315514
10383285710803856
11101143614569023
1236ba3409056a94
13135b38c23cc583
146a911ad78c400
152e4a21a98e721
hex15c98a8a3d390

383285710803856 has 135 divisors (see below), whose sum is σ = 868883501313873. Its totient is φ = 163315473713280.

The previous prime is 383285710803817. The next prime is 383285710803857. The reversal of 383285710803856 is 658308017582383.

The square root of 383285710803856 is 19577684.

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., 4223501773456 + 379062209030400 = 2055116^2 + 19469520^2 .

It is a super-2 number, since 2×3832857108038562 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 383285710803791 and 383285710803800.

It is not an unprimeable number, because it can be changed into a prime (383285710803857) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99219700581 + ... + 99219704443.

Almost surely, 2383285710803856 is an apocalyptic number.

383285710803856 is the 19577684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383285710803856

383285710803856 is an abundant number, since it is smaller than the sum of its proper divisors (485597790510017).

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

383285710803856 is an frugal number, since it uses more digits than its factorization.

383285710803856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 67.

The spelling of 383285710803856 in words is "three hundred eighty-three trillion, two hundred eighty-five billion, seven hundred ten million, eight hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 362 392 724 784 1267 1448 2534 2896 3863 5068 7726 8869 10136 15452 17738 20272 27041 30904 32761 35476 54082 61808 65522 70952 108164 131044 141904 189287 216328 229327 262088 378574 432656 458654 524176 699203 757148 917308 1398406 1514296 1605289 1834616 2796812 3028592 3210578 3669232 4894421 5593624 6421156 9788842 11187248 12842312 14922769 19577684 25684624 29845538 34260947 39155368 59691076 68521894 78310736 104459383 119382152 126555743 137043788 208918766 238764304 253111486 274087576 417837532 506222972 548175152 731215681 835675064 885890201 1012445944 1462431362 1671350128 1771780402 2024891888 2701021189 2924862724 3543560804 5402042378 5849725448 6201231407 7087121608 10804084756 11699450896 12402462814 14174243216 18907148323 21608169512 24804925628 37814296646 43216339024 49609851256 75628593292 99219702512 132350038261 151257186584 264700076522 302514373168 488884835209 529400153044 977769670418 1058800306088 1955539340836 2117600612176 3422193846463 3911078681672 6844387692926 7822157363344 13688775385852 23955356925241 27377550771704 47910713850482 54755101543408 95821427700964 191642855401928 383285710803856