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66631854080 = 211511253777
BaseRepresentation
bin111110000011100100…
…010110100000000000
320100222200120220021102
4332003210112200000
52042430223312310
650335451513532
74546125262151
oct760344264000
9210880526242
1066631854080
1126292a43200
1210ab6a588a8
13638b6c56bc
14332157b928
151aeea9b8a5
hexf83916800

66631854080 has 144 divisors (see below), whose sum is σ = 175736286180. Its totient is φ = 24229314560.

The previous prime is 66631854061. The next prime is 66631854083. The reversal of 66631854080 is 8045813666.

It can be written as a sum of positive squares in 2 ways, for example, as 57124824064 + 9507030016 = 239008^2 + 97504^2 .

It is not an unprimeable number, because it can be changed into a prime (66631854083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212152 + ... + 1265928.

Almost surely, 266631854080 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 66631854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87868143090).

66631854080 is an abundant number, since it is smaller than the sum of its proper divisors (109104432100).

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

66631854080 is a wasteful number, since it uses less digits than its factorization.

66631854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53826 (or 53795 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 66631854080 in words is "sixty-six billion, six hundred thirty-one million, eight hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1408 1760 1936 2048 2420 2560 2816 3520 3872 4840 5120 5632 7040 7744 9680 10240 11264 14080 15488 19360 22528 28160 30976 38720 53777 56320 61952 77440 107554 112640 123904 154880 215108 247808 268885 309760 430216 537770 591547 619520 860432 1075540 1183094 1239040 1720864 2151080 2366188 2957735 3441728 4302160 4732376 5915470 6507017 6883456 8604320 9464752 11830940 13014034 13766912 17208640 18929504 23661880 26028068 27533824 32535085 34417280 37859008 47323760 52056136 55067648 65070170 68834560 75718016 94647520 104112272 110135296 130140340 137669120 151436032 189295040 208224544 260280680 275338240 302872064 378590080 416449088 520561360 550676480 605744128 757180160 832898176 1041122720 1211488256 1514360320 1665796352 2082245440 3028720640 3331592704 4164490880 6057441280 6663185408 8328981760 13326370816 16657963520 33315927040 66631854080