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57271056605616 = 2437327111283129
BaseRepresentation
bin11010000010110011101001…
…11111000010000110110000
321111210001121101221111022110
431001121310333002012300
530001312110442334431
6321445543222405320
715030461113005000
oct1501316477020660
9244701541844273
1057271056605616
1117280578445087
12650b620b90840
1325c5839681229
14101dd109bc000
15694b41a57346
hex341674fc21b0

57271056605616 has 160 divisors (see below), whose sum is σ = 172600488576000. Its totient is φ = 16357110443520.

The previous prime is 57271056605591. The next prime is 57271056605657. The reversal of 57271056605616 is 61650665017275.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43992340 + ... + 45275468.

It is an arithmetic number, because the mean of its divisors is an integer number (1078753053600).

Almost surely, 257271056605616 is an apocalyptic number.

57271056605616 is a gapful number since it is divisible by the number (56) 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 57271056605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86300244288000).

57271056605616 is an abundant number, since it is smaller than the sum of its proper divisors (115329431970384).

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

57271056605616 is a wasteful number, since it uses less digits than its factorization.

57271056605616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285872 (or 1285852 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 57271056605616 in words is "fifty-seven trillion, two hundred seventy-one billion, fifty-six million, six hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2711 2744 4116 5422 5488 8133 8232 10844 16266 16464 18977 21688 32532 37954 43376 56931 65064 75908 113862 130128 132839 151816 227724 265678 303632 398517 455448 531356 797034 910896 929873 1062712 1283129 1594068 1859746 2125424 2566258 2789619 3188136 3719492 3849387 5132516 5579238 6376272 7438984 7698774 8981903 10265032 11158476 14877968 15397548 17963806 20530064 22316952 26945709 30795096 35927612 44633904 53891418 61590192 62873321 71855224 107782836 125746642 143710448 188619963 215565672 251493284 377239926 431131344 440113247 502986568 754479852 880226494 1005973136 1320339741 1508959704 1760452988 2640679482 3017919408 3478562719 3520905976 5281358964 6957125438 7041811952 10435688157 10562717928 13914250876 20871376314 21125435856 24349939033 27828501752 41742752628 48699878066 55657003504 73049817099 83485505256 97399756132 146099634198 166971010512 170449573231 194799512264 292199268396 340899146462 389599024528 511348719693 584398536792 681798292924 1022697439386 1168797073584 1193147012617 1363596585848 2045394878772 2386294025234 2727193171696 3579441037851 4090789757544 4772588050468 7158882075702 8181579515088 9545176100936 14317764151404 19090352201872 28635528302808 57271056605616