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57341894373 = 32371932773221
BaseRepresentation
bin110101011001110101…
…111101111011100101
312111000020220001022200
4311121311331323211
51414414011104443
642201551445113
74066662026421
oct653165757345
9174006801280
1057341894373
1122356005a55
12b143826799
13553ab5161a
142abd847b81
1517591e5dd3
hexd59d7dee5

57341894373 has 48 divisors (see below), whose sum is σ = 85841838576. Its totient is φ = 36856995840.

The previous prime is 57341894347. The next prime is 57341894473. The reversal of 57341894373 is 37349814375.

57341894373 is a `hidden beast` number, since 5 + 73 + 418 + 94 + 3 + 73 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 185995044 + 57155899329 = 13638^2 + 239073^2 .

It is not a de Polignac number, because 57341894373 - 226 = 57274785509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57341894473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17800903 + ... + 17804123.

It is an arithmetic number, because the mean of its divisors is an integer number (1788371637).

Almost surely, 257341894373 is an apocalyptic number.

It is an amenable number.

57341894373 is a deficient number, since it is larger than the sum of its proper divisors (28499944203).

57341894373 is a wasteful number, since it uses less digits than its factorization.

57341894373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3731 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 57341894373 in words is "fifty-seven billion, three hundred forty-one million, eight hundred ninety-four thousand, three hundred seventy-three".

Divisors: 1 3 9 37 111 193 277 333 579 831 1737 2493 3221 7141 9663 10249 21423 28989 30747 53461 64269 92241 119177 160383 357531 481149 621653 892217 1072593 1864959 1978057 2676651 5594877 5934171 8029953 17802513 23001161 33012029 69003483 99036087 172197881 207010449 297108261 516593643 1549780929 6371321597 19113964791 57341894373