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66288688272 = 2432460338113
BaseRepresentation
bin111101101111000111…
…010001110010010000
320100002202212021021200
4331233013101302100
52041224401011042
650241432351200
74534460360562
oct755707216220
9210082767250
1066288688272
11261272666a4
1210a1bb45500
136335593101
1432cbb6d332
151ace8b2c4c
hexf6f1d1c90

66288688272 has 30 divisors (see below), whose sum is σ = 185516259942. Its totient is φ = 22096229376.

The previous prime is 66288688267. The next prime is 66288688313. The reversal of 66288688272 is 27288688266.

66288688272 is a `hidden beast` number, since 6 + 6 + 288 + 6 + 88 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54039511296 + 12249176976 = 232464^2 + 110676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230168913 + ... + 230169200.

Almost surely, 266288688272 is an apocalyptic number.

It is an amenable number.

66288688272 is an abundant number, since it is smaller than the sum of its proper divisors (119227571670).

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

66288688272 is a wasteful number, since it uses less digits than its factorization.

66288688272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460338127 (or 460338118 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 66288688272 in words is "sixty-six billion, two hundred eighty-eight million, six hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 460338113 920676226 1381014339 1841352452 2762028678 3682704904 4143043017 5524057356 7365409808 8286086034 11048114712 16572172068 22096229424 33144344136 66288688272