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57090614328 = 233211411758149
BaseRepresentation
bin110101001010110111…
…011010010000111000
312110100202001200220100
4311022313122100320
51413410144124303
642121013555400
74060521133506
oct651267322070
9173322050810
1057090614328
11222371885a0
12b093645b60
1354caa813c7
142a98317676
15174210c8a3
hexd4adda438

57090614328 has 96 divisors (see below), whose sum is σ = 172790982000. Its totient is φ = 16878220800.

The previous prime is 57090614311. The next prime is 57090614393. The reversal of 57090614328 is 82341609075.

57090614328 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 0 + 614 + 3 + 28 = 666.

57090614328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 846603 + ... + 911546.

It is a 1-persistent number, because it is pandigital, but 2⋅57090614328 = 114181228656 is not.

Almost surely, 257090614328 is an apocalyptic number.

It is an amenable number.

57090614328 is an abundant number, since it is smaller than the sum of its proper divisors (115700367672).

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

57090614328 is a wasteful number, since it uses less digits than its factorization.

57090614328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758213 (or 1758206 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57090614328 in words is "fifty-seven billion, ninety million, six hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 4059 5412 8118 10824 16236 32472 1758149 3516298 5274447 7032596 10548894 14065192 15823341 19339639 21097788 31646682 38679278 42195576 58018917 63293364 72084109 77358556 116037834 126586728 144168218 154717112 174056751 216252327 232075668 288336436 348113502 432504654 464151336 576672872 648756981 696227004 792925199 865009308 1297513962 1392454008 1585850398 1730018616 2378775597 2595027924 3171700796 4757551194 5190055848 6343401592 7136326791 9515102388 14272653582 19030204776 28545307164 57090614328