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628660160557 = 1121323672231163
BaseRepresentation
bin10010010010111110001…
…00001100100000101101
32020002200102000001200021
421021133010030200231
540244444000114212
61200445201002141
763263533124302
oct11113704144055
92202612001607
10628660160557
112226822a9400
12a1a09023351
1347389578bb0
14225da79b0a9
1511546037307
hex925f10c82d

628660160557 has 96 divisors (see below), whose sum is σ = 792320385024. Its totient is φ = 494424120960.

The previous prime is 628660160537. The next prime is 628660160561. The reversal of 628660160557 is 755061066826.

It is a de Polignac number, because none of the positive numbers 2k-628660160557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628660160537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540549858 + ... + 540551020.

It is an arithmetic number, because the mean of its divisors is an integer number (8253337344).

Almost surely, 2628660160557 is an apocalyptic number.

628660160557 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

628660160557 is a deficient number, since it is larger than the sum of its proper divisors (163660224467).

628660160557 is a wasteful number, since it uses less digits than its factorization.

628660160557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 628660160557 in words is "six hundred twenty-eight billion, six hundred sixty million, one hundred sixty thousand, five hundred fifty-seven".

Divisors: 1 11 13 23 67 121 143 223 253 299 737 871 1163 1541 1573 2453 2783 2899 3289 5129 8107 9581 12793 14941 15119 16951 20033 26749 26983 31889 36179 56419 66677 77921 105391 140723 164351 166309 186461 194233 220363 259349 294239 343643 347737 350779 620609 733447 857131 1012973 1792183 1807861 1829399 2136563 2423993 2852839 3236629 3371537 3780073 3825107 4467359 5965027 8067917 9428441 11142703 17376383 19714013 23298379 23502193 31381229 37086907 41580803 42076177 49140949 65615297 77545351 122569733 191140213 216854143 225892979 256282169 399656809 407955977 540550439 721768267 852998861 2102542343 2484822769 2819103859 4396224899 5195538517 9382987471 27333050459 48358473889 57150923687 628660160557