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257066198016 = 2103216138723
BaseRepresentation
bin1110111101101001010…
…1101110010000000000
3220120112101101220111220
43233122111232100000
513202432421314031
6314032232435040
724400224426105
oct3573225562000
9816471356456
10257066198016
119a026192421
12419a2b48a80
131b31a001c54
14c629080aac
156a4835c596
hex3bda56e400

257066198016 has 88 divisors (see below), whose sum is σ = 685509906144. Its totient is φ = 85646868480.

The previous prime is 257066197979. The next prime is 257066198021. The reversal of 257066198016 is 610891660752.

It is a self number, because there is not a number n which added to its sum of digits gives 257066198016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6619231 + ... + 6657953.

Almost surely, 2257066198016 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 257066198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342754953072).

257066198016 is an abundant number, since it is smaller than the sum of its proper divisors (428443708128).

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

257066198016 is a wasteful number, since it uses less digits than its factorization.

257066198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40907 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 257066198016 in words is "two hundred fifty-seven billion, sixty-six million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2161 3072 4322 6483 8644 12966 17288 25932 34576 38723 51864 69152 77446 103728 116169 138304 154892 207456 232338 276608 309784 414912 464676 553216 619568 829824 929352 1106432 1239136 1659648 1858704 2212864 2478272 3319296 3717408 4956544 6638592 7434816 9913088 14869632 19826176 29739264 39652352 59478528 83680403 118957056 167360806 251041209 334721612 502082418 669443224 1004164836 1338886448 2008329672 2677772896 4016659344 5355545792 8033318688 10711091584 16066637376 21422183168 32133274752 42844366336 64266549504 85688732672 128533099008 257066198016