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57700385568 = 25327231244401
BaseRepresentation
bin110101101111001101…
…100000001100100000
312111221020110021210100
4311233031200030200
51421132244314233
642301315302400
74111604120310
oct655715401440
9174836407710
1057700385568
112251a3aa771
12b2238aaa00
1355971bb6a7
142b152c5440
15177a90a813
hexd6f360320

57700385568 has 144 divisors (see below), whose sum is σ = 195679725696. Its totient is φ = 15769036800.

The previous prime is 57700385549. The next prime is 57700385623. The reversal of 57700385568 is 86558300775.

57700385568 is a `hidden beast` number, since 5 + 7 + 70 + 0 + 3 + 8 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575833 + ... + 668568.

It is an arithmetic number, because the mean of its divisors is an integer number (1358886984).

Almost surely, 257700385568 is an apocalyptic number.

It is an amenable number.

57700385568 is an abundant number, since it is smaller than the sum of its proper divisors (137979340128).

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

57700385568 is a wasteful number, since it uses less digits than its factorization.

57700385568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244447 (or 1244436 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 57700385568 in words is "fifty-seven billion, seven hundred million, three hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 1244401 2488802 3733203 4977604 7466406 8710807 9955208 11199609 14932812 17421614 19910416 22399218 26132421 28621223 29865624 34843228 39820832 44798436 52264842 57242446 59731248 69686456 78397263 85863669 89596872 104529684 114484892 119462496 139372912 156794526 171727338 179193744 200348561 209059368 228969784 257591007 278745824 313589052 343454676 358387488 400697122 418118736 457939568 515182014 601045683 627178104 686909352 801394244 836237472 915879136 1030364028 1202091366 1254356208 1373818704 1602788488 1803137049 2060728056 2404182732 2508712416 2747637408 3205576976 3606274098 4121456112 4808365464 6411153952 7212548196 8242912224 9616730928 14425096392 19233461856 28850192784 57700385568