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57306020365476 = 2232972130072
BaseRepresentation
bin11010000011110100110001…
…11111001100010010100100
321111220101212002102112010100
431001322120333030102210
530002400212203143401
6321514004453224100
715033136415032641
oct1501723077142244
9244811762375110
1057306020365476
111729438a593393
12651635a332030
1325c8c1c22682c
1410218aa372dc8
156959db329b86
hex341e98fcc4a4

57306020365476 has 81 divisors (see below), whose sum is σ = 146376904027809. Its totient is φ = 18903625429248.

The previous prime is 57306020365411. The next prime is 57306020365487. The reversal of 57306020365476 is 67456302060375.

The square root of 57306020365476 is 7570074.

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

57306020365476 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 60 + 2 + 0 + 36 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25732589652900 + 31573430712576 = 5072730^2 + 5619024^2 .

It is a super-2 number, since 2×573060203654762 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4405776565 + ... + 4405789571.

Almost surely, 257306020365476 is an apocalyptic number.

57306020365476 is the 7570074-th square number.

It is an amenable number.

57306020365476 is an abundant number, since it is smaller than the sum of its proper divisors (89070883662333).

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

57306020365476 is an frugal number, since it uses more digits than its factorization.

57306020365476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26218 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 57306020365476 in words is "fifty-seven trillion, three hundred six billion, twenty million, three hundred sixty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 9409 13007 18818 26014 28227 37636 39021 52028 56454 78042 84681 112908 117063 156084 169362 234126 338724 468252 1261679 2523358 3785037 5046716 7570074 11355111 15140148 22710222 45420444 122382863 169182049 244765726 338364098 367148589 489531452 507546147 676728196 734297178 1015092294 1101445767 1468594356 1522638441 2030184588 2202891534 3045276882 4405783068 6090553764 16410658753 32821317506 49231976259 65642635012 98463952518 147695928777 196927905036 295391857554 590783715108 1591833899041 3183667798082 4775501697123 6367335596164 9551003394246 14326505091369 19102006788492 28653010182738 57306020365476