Search a number
-
+
57300869376 = 283249872
BaseRepresentation
bin110101010111011001…
…011110000100000000
312110220101200202121100
4311113121132010000
51414323010310001
642153524254400
74065653232132
oct652731360400
9173811622540
1057300869376
11223349352a3
12b131b41400
1355324b938a
142ab8209052
1517557e0586
hexd5765e100

57300869376 has 81 divisors (see below), whose sum is σ = 165245667951. Its totient is φ = 19096459776.

The previous prime is 57300869323. The next prime is 57300869393. The reversal of 57300869376 is 67396800375.

The square root of 57300869376 is 239376.

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

57300869376 is a `hidden beast` number, since 573 + 0 + 0 + 8 + 69 + 3 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11487555 + ... + 11492541.

Almost surely, 257300869376 is an apocalyptic number.

57300869376 is the 239376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57300869376

57300869376 is an abundant number, since it is smaller than the sum of its proper divisors (107944798575).

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

57300869376 is an frugal number, since it uses more digits than its factorization.

57300869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 57300869376 in words is "fifty-seven billion, three hundred million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4987 9974 14961 19948 29922 39896 44883 59844 79792 89766 119688 159584 179532 239376 319168 359064 478752 638336 718128 957504 1276672 1436256 1915008 2872512 3830016 5745024 11490048 24870169 49740338 74610507 99480676 149221014 198961352 223831521 298442028 397922704 447663042 596884056 795845408 895326084 1193768112 1591690816 1790652168 2387536224 3183381632 3581304336 4775072448 6366763264 7162608672 9550144896 14325217344 19100289792 28650434688 57300869376