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54668986596 = 2232721922932
BaseRepresentation
bin110010111010100001…
…101000100011100100
312020002222100021011100
4302322201220203210
51343430230032341
641040430040100
73643514501400
oct627241504344
9166088307140
1054668986596
1121204243864
12a718649030
1352031624a3
142908868100
15164e7133b6
hexcba8688e4

54668986596 has 243 divisors, whose sum is σ = 170239845321. Its totient is φ = 14747116608.

The previous prime is 54668986517. The next prime is 54668986609. The reversal of 54668986596 is 69568986645.

The square root of 54668986596 is 233814.

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

54668986596 is a `hidden beast` number, since 5 + 466 + 89 + 86 + 5 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51724404900 + 2944581696 = 227430^2 + 54264^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

Its product of digits (671846400) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 186583426 + ... + 186583718.

Almost surely, 254668986596 is an apocalyptic number.

54668986596 is the 233814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54668986596

54668986596 is an abundant number, since it is smaller than the sum of its proper divisors (115570858725).

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

54668986596 is a wasteful number, since it uses less digits than its factorization.

54668986596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 54668986596 in words is "fifty-four billion, six hundred sixty-eight million, nine hundred eighty-six thousand, five hundred ninety-six".