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57246353316 = 22331719286371
BaseRepresentation
bin110101010100001001…
…100000011110100100
312110202121010001122000
4311110021200132210
51414220031301231
642144300005300
74064421655155
oct652411403644
9173677101560
1057246353316
112230708a5a9
12b117830830
13552410c559
142ab0c9792c
151750b226e6
hexd542607a4

57246353316 has 144 divisors (see below), whose sum is σ = 165854969280. Its totient is φ = 17014199040.

The previous prime is 57246353303. The next prime is 57246353323. The reversal of 57246353316 is 61335364275.

It is a happy number.

57246353316 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 635 + 3 + 3 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619611 + ... + 705981.

It is an arithmetic number, because the mean of its divisors is an integer number (1151770620).

Almost surely, 257246353316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57246353316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82927484640).

57246353316 is an abundant number, since it is smaller than the sum of its proper divisors (108608615964).

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

57246353316 is a wasteful number, since it uses less digits than its factorization.

57246353316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86439 (or 86412 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 57246353316 in words is "fifty-seven billion, two hundred forty-six million, three hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 361 459 513 612 646 684 722 918 969 1026 1083 1292 1444 1836 1938 2052 2166 2907 3249 3876 4332 5814 6137 6498 8721 9747 11628 12274 12996 17442 18411 19494 24548 34884 36822 38988 55233 73644 86371 110466 165699 172742 220932 259113 331398 345484 518226 662796 777339 1036452 1468307 1554678 1641049 2332017 2936614 3109356 3282098 4404921 4664034 4923147 5873228 6564196 8809842 9328068 9846294 13214763 14769441 17619684 19692588 26429526 27897833 29538882 31179931 39644289 44308323 52859052 55795666 59077764 62359862 79288578 83693499 88616646 93539793 111591332 124719724 158577156 167386998 177233292 187079586 251080497 280619379 334773996 374159172 502160994 530058827 561238758 753241491 841858137 1004321988 1060117654 1122477516 1506482982 1590176481 1683716274 2120235308 3012965964 3180352962 3367432548 4770529443 6360705924 9541058886 14311588329 19082117772 28623176658 57246353316