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57620116281 = 371319231273803
BaseRepresentation
bin110101101010011011…
…010011001100111001
312111201122102012000210
4311222123103030321
51421001222210111
642245331021333
74106610623130
oct655233231471
9174648365023
1057620116281
1122489065212
12b200a3a849
135583695880
142b0878c917
1517738520a6
hexd6a6d3339

57620116281 has 128 divisors (see below), whose sum is σ = 104705556480. Its totient is φ = 27317461248.

The previous prime is 57620116273. The next prime is 57620116313. The reversal of 57620116281 is 18261102675.

It is not a de Polignac number, because 57620116281 - 23 = 57620116273 is a prime.

It is a super-3 number, since 3×576201162813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57620116241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15149326 + ... + 15153128.

It is an arithmetic number, because the mean of its divisors is an integer number (818012160).

Almost surely, 257620116281 is an apocalyptic number.

It is an amenable number.

57620116281 is a deficient number, since it is larger than the sum of its proper divisors (47085440199).

57620116281 is a wasteful number, since it uses less digits than its factorization.

57620116281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995.

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 57620116281 in words is "fifty-seven billion, six hundred twenty million, one hundred sixteen thousand, two hundred eighty-one".

Divisors: 1 3 7 13 19 21 23 39 57 69 91 127 133 161 247 273 299 381 399 437 483 741 889 897 1311 1651 1729 2093 2413 2667 2921 3059 3803 4953 5187 5681 6279 7239 8763 9177 11409 11557 16891 17043 20447 26621 31369 34671 37973 39767 49439 50673 55499 61341 72257 79863 87469 94107 113919 119301 148317 166497 216771 219583 262407 265811 346073 388493 482981 505799 612283 658749 721487 797433 939341 1038219 1137097 1165479 1448943 1517397 1661911 1836849 2164461 2818023 3380867 3411291 4985733 5050409 6278753 6575387 7959679 9176639 10142601 11108563 11633377 15151227 18836259 19726161 21604843 23879037 27529917 33325689 34900131 43951271 64236473 64814529 77759941 119296307 131853813 144411319 151233901 192709419 211062697 233279823 357888921 433233957 453701703 633188091 835074149 1010879233 1477438879 2505222447 2743815061 3032637699 4432316637 8231445183 19206705427 57620116281