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66314111656 = 23133721318087
BaseRepresentation
bin111101110000101000…
…010000101010101000
320100011112200220121111
4331300220100222220
52041302403033111
650244141320104
74535216435332
oct756050205250
9210145626544
1066314111656
112613a650661
1210a28566034
13633a924c30
1432d12aa452
151ad1c35a21
hexf70a10aa8

66314111656 has 64 divisors (see below), whose sum is σ = 137604055680. Its totient is φ = 29761655040.

The previous prime is 66314111653. The next prime is 66314111701. The reversal of 66314111656 is 65611141366.

It is a super-2 number, since 2×663141116562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66314111653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8196045 + ... + 8204131.

It is an arithmetic number, because the mean of its divisors is an integer number (2150063370).

Almost surely, 266314111656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66314111656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68802027840).

66314111656 is an abundant number, since it is smaller than the sum of its proper divisors (71289944024).

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

66314111656 is a wasteful number, since it uses less digits than its factorization.

66314111656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10270 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The spelling of 66314111656 in words is "sixty-six billion, three hundred fourteen million, one hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 2131 3848 4262 8087 8524 16174 17048 27703 32348 55406 64696 78847 105131 110812 157694 210262 221624 299219 315388 420524 598438 630776 841048 1025011 1196876 2050022 2393752 3889847 4100044 7779694 8200088 15559388 17233397 31118776 34466794 68933588 137867176 224034161 448068322 637635689 896136644 1275271378 1792273288 2550542756 5101085512 8289263957 16578527914 33157055828 66314111656