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1101060066656 = 2511191061155167
BaseRepresentation
bin10000000001011100010…
…010110100110101100000
310220021000202202201210202
4100001130102310311200
5121014432334113111
62201453042244332
7142356203100614
oct20013422646540
93807022681722
101101060066656
11394a58780840
121594869566a8
137caa25b6854
143b4121ad344
151d993a99b3b
hex1005c4b4d60

1101060066656 has 96 divisors (see below), whose sum is σ = 2491600849920. Its totient is φ = 473690764800.

The previous prime is 1101060066643. The next prime is 1101060066661. The reversal of 1101060066656 is 6566600601011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7018385 + ... + 7173551.

It is an arithmetic number, because the mean of its divisors is an integer number (25954175520).

Almost surely, 21101060066656 is an apocalyptic number.

1101060066656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101060066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245800424960).

1101060066656 is an abundant number, since it is smaller than the sum of its proper divisors (1390540783264).

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

1101060066656 is a wasteful number, since it uses less digits than its factorization.

1101060066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156268 (or 156260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

Adding to 1101060066656 its reverse (6566600601011), we get a palindrome (7667660667667).

The spelling of 1101060066656 in words is "one trillion, one hundred one billion, sixty million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1061 1672 2122 3344 4244 6688 8488 11671 16976 20159 23342 33952 40318 46684 80636 93368 155167 161272 186736 221749 310334 322544 373472 443498 620668 645088 886996 1241336 1706837 1773992 2482672 2948173 3413674 3547984 4965344 5896346 6827348 7095968 11792692 13654696 23585384 27309392 32429903 47170768 54618784 64859806 94341536 129719612 164632187 259439224 329264374 518878448 658528748 1037756896 1317057496 1810954057 2634114992 3128011553 3621908114 5268229984 6256023106 7243816228 12512046212 14487632456 25024092424 28975264912 34408127083 50048184848 57950529824 68816254166 100096369696 137632508332 275265016664 550530033328 1101060066656