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57114308196 = 2234112172712
BaseRepresentation
bin110101001100010001…
…110010111001100100
312110102101122110210000
4311030101302321210
51413432230330241
642123221501300
74061226416031
oct651421627144
9173371573700
1057114308196
11222495a1100
12b09b571830
135502958c4a
142a9b524388
15174423ceb6
hexd4c472e64

57114308196 has 405 divisors, whose sum is σ = 176827260841. Its totient is φ = 16059859200.

The previous prime is 57114308189. The next prime is 57114308201. The reversal of 57114308196 is 69180341175.

The square root of 57114308196 is 238986.

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

57114308196 is a `hidden beast` number, since 57 + 1 + 1 + 430 + 81 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44466156900 + 12648151296 = 210870^2 + 112464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 804426841 + ... + 804426911.

Almost surely, 257114308196 is an apocalyptic number.

57114308196 is the 238986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57114308196

57114308196 is an abundant number, since it is smaller than the sum of its proper divisors (119712952645).

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

57114308196 is a wasteful number, since it uses less digits than its factorization.

57114308196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 57114308196 in words is "fifty-seven billion, one hundred fourteen million, three hundred eight thousand, one hundred ninety-six".