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57204217386 = 23819722129
BaseRepresentation
bin110101010001101000…
…110001011000101010
312110122122211100000000
4311101220301120222
51414123234424021
642140152523430
74063400552661
oct652150613052
9173578740000
1057204217386
1122295320218
12b1056b0576
135518478754
142aa9449dd8
15174c09cb26
hexd51a3162a

57204217386 has 72 divisors (see below), whose sum is σ = 129362110020. Its totient is φ = 18970422912.

The previous prime is 57204217331. The next prime is 57204217387. The reversal of 57204217386 is 68371240275.

57204217386 is a `hidden beast` number, since 57 + 2 + 0 + 4 + 217 + 386 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38265228225 + 18938989161 = 195615^2 + 137619^2 .

It is a super-3 number, since 3×572042173863 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57204217387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2573970 + ... + 2596098.

Almost surely, 257204217386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57204217386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64681055010).

57204217386 is an abundant number, since it is smaller than the sum of its proper divisors (72157892634).

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

57204217386 is an equidigital number, since it uses as much as digits as its factorization.

57204217386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22352 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57204217386 in words is "fifty-seven billion, two hundred four million, two hundred seventeen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 729 1182 1458 1773 2187 3546 4374 5319 6561 10638 13122 15957 22129 31914 44258 47871 66387 95742 132774 143613 199161 287226 398322 430839 597483 861678 1194966 1292517 1792449 2585034 3584898 4359413 5377347 8718826 10754694 13078239 16132041 26156478 32264082 39234717 48396123 78469434 96792246 117704151 145188369 235408302 290376738 353112453 706224906 1059337359 2118674718 3178012077 6356024154 9534036231 19068072462 28602108693 57204217386