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57200292288 = 263429380483
BaseRepresentation
bin110101010001011001…
…110011000111000000
312110122101102220210000
4311101121303013000
51414121233323123
642135532440000
74063322314356
oct652131630700
9173571386700
1057200292288
112229308a237
12b104319000
135517702cc9
142aa8b077d6
15174ba74b43
hexd516731c0

57200292288 has 140 divisors (see below), whose sum is σ = 175406928840. Its totient is φ = 18409241088.

The previous prime is 57200292263. The next prime is 57200292293. The reversal of 57200292288 is 88229200275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39906 + ... + 340577.

Almost surely, 257200292288 is an apocalyptic number.

57200292288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57200292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87703464420).

57200292288 is an abundant number, since it is smaller than the sum of its proper divisors (118206636552).

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

57200292288 is a wasteful number, since it uses less digits than its factorization.

57200292288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380536 (or 380517 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 57200292288 in words is "fifty-seven billion, two hundred million, two hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 37584 50112 75168 150336 380483 760966 1141449 1521932 2282898 3043864 3424347 4565796 6087728 6848694 9131592 10273041 11034007 12175456 13697388 18263184 20546082 22068014 24350912 27394776 30819123 33102021 36526368 41092164 44136028 54789552 61638246 66204042 73052736 82184328 88272056 99306063 109579104 123276492 132408084 164368656 176544112 198612126 219158208 246552984 264816168 297918189 328737312 353088224 397224252 493105968 529632336 595836378 657474624 706176448 794448504 893754567 986211936 1059264672 1191672756 1588897008 1787509134 1972423872 2118529344 2383345512 3177794016 3575018268 4766691024 6355588032 7150036536 9533382048 14300073072 19066764096 28600146144 57200292288