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7146428472192 = 27384127221219
BaseRepresentation
bin110011111111110100001…
…0101001001101110000000
3221022012011212222002011010
41213333220111021232000
51414041341142102232
623111005055520520
71335212105513022
oct147775025115600
927265155862133
107146428472192
112305868624819
12975038529140
133cab9cc86409
141a9c6352a012
15c5d659930cc
hex67fe8549b80

7146428472192 has 64 divisors (see below), whose sum is σ = 18983012083200. Its totient is φ = 2382103739904.

The previous prime is 7146428472181. The next prime is 7146428472241. The reversal of 7146428472192 is 2912748246417.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32194159 + ... + 32415377.

It is an arithmetic number, because the mean of its divisors is an integer number (296609563800).

Almost surely, 27146428472192 is an apocalyptic number.

It is an amenable number.

7146428472192 is an abundant number, since it is smaller than the sum of its proper divisors (11836583611008).

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

7146428472192 is a wasteful number, since it uses less digits than its factorization.

7146428472192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305363 (or 305351 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 7146428472192 in words is "seven trillion, one hundred forty-six billion, four hundred twenty-eight million, four hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 84127 168254 221219 252381 336508 442438 504762 663657 673016 884876 1009524 1327314 1346032 1769752 2019048 2654628 2692064 3539504 4038096 5309256 5384128 7079008 8076192 10618512 10768256 14158016 16152384 21237024 28316032 32304768 42474048 84948096 18610490813 37220981626 55831472439 74441963252 111662944878 148883926504 223325889756 297767853008 446651779512 595535706016 893303559024 1191071412032 1786607118048 2382142824064 3573214236096 7146428472192