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66886373376 = 212344492
BaseRepresentation
bin111110010010101111…
…010001000000000000
320101122102111211010000
4332102233101000000
52043440402422001
650421023040000
74555335536004
oct762257210000
9211572454100
1066886373376
1126403683329
1210b68140000
1363cc35b134
1433472b2704
151b170c4a86
hexf92bd1000

66886373376 has 195 divisors, whose sum is σ = 200254968661. Its totient is φ = 22245801984.

The previous prime is 66886373353. The next prime is 66886373429. The reversal of 66886373376 is 67337368866.

It is a happy number.

The square root of 66886373376 is 258624.

It is a perfect power (a square), and thus also a powerful number.

66886373376 is a `hidden beast` number, since 66 + 88 + 63 + 73 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40875134976 + 26011238400 = 202176^2 + 161280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 148967200 + ... + 148967648.

Almost surely, 266886373376 is an apocalyptic number.

66886373376 is the 258624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66886373376

66886373376 is an abundant number, since it is smaller than the sum of its proper divisors (133368595285).

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

66886373376 is an frugal number, since it uses more digits than its factorization.

66886373376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 454 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 66886373376 in words is "sixty-six billion, eight hundred eighty-six million, three hundred seventy-three thousand, three hundred seventy-six".