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66675984336 = 24321335617513
BaseRepresentation
bin111110000110001100…
…101100011111010000
320101002202121221121100
4332012030230133100
52043023022444321
650344105424400
74550202341613
oct760614543720
9211082557540
1066675984336
1126305944995
1210b0979b100
1363978a7190
14332738817a
151b038b7326
hexf8632c7d0

66675984336 has 60 divisors (see below), whose sum is σ = 200954013988. Its totient is φ = 20515686912.

The previous prime is 66675984313. The next prime is 66675984337. The reversal of 66675984336 is 63348957666.

It is a happy number.

66675984336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32236047936 + 34439936400 = 179544^2 + 185580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66675984337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17806885 + ... + 17810628.

Almost surely, 266675984336 is an apocalyptic number.

It is an amenable number.

66675984336 is an abundant number, since it is smaller than the sum of its proper divisors (134278029652).

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

66675984336 is a wasteful number, since it uses less digits than its factorization.

66675984336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35617540 (or 35617531 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 66675984336 in words is "sixty-six billion, six hundred seventy-five million, nine hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 35617513 71235026 106852539 142470052 213705078 284940104 320557617 427410156 463027669 569880208 641115234 854820312 926055338 1282230468 1389083007 1709640624 1852110676 2564460936 2778166014 3704221352 4167249021 5128921872 5556332028 7408442704 8334498042 11112664056 16668996084 22225328112 33337992168 66675984336