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157709153085 = 3511173112714281
BaseRepresentation
bin1001001011100000110…
…0101011001100111101
3120002002000121001210220
42102320030223030331
510040442020344320
6200241154251553
714252115453141
oct2227014531475
9502060531726
10157709153085
116097a783a50
1226694586bb9
1311b4477a9c3
1478c1589221
1541807c7e40
hex24b832b33d

157709153085 has 128 divisors (see below), whose sum is σ = 303259189248. Its totient is φ = 69092352000.

The previous prime is 157709153083. The next prime is 157709153099. The reversal of 157709153085 is 580351907751.

It is a happy number.

157709153085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157709153085 - 21 = 157709153083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157709153083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11036145 + ... + 11050425.

It is an arithmetic number, because the mean of its divisors is an integer number (2369212416).

Almost surely, 2157709153085 is an apocalyptic number.

157709153085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157709153085 is a deficient number, since it is larger than the sum of its proper divisors (145550036163).

157709153085 is a wasteful number, since it uses less digits than its factorization.

157709153085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475.

The product of its (nonzero) digits is 1323000, while the sum is 51.

The spelling of 157709153085 in words is "one hundred fifty-seven billion, seven hundred nine million, one hundred fifty-three thousand, eighty-five".

Divisors: 1 3 5 11 15 17 31 33 51 55 85 93 127 155 165 187 255 341 381 465 527 561 635 935 1023 1397 1581 1705 1905 2159 2635 2805 3937 4191 5115 5797 6477 6985 7905 10795 11811 14281 17391 19685 20955 23749 28985 32385 42843 43307 59055 66929 71247 71405 86955 118745 129921 157091 200787 214215 216535 242777 334645 356235 442711 471273 649605 728331 736219 785455 1003935 1213885 1328133 1813687 2208657 2213555 2356365 2670547 3641655 3681095 4869821 5441061 6640665 7526087 8011641 9068435 11043285 13352735 14609463 19950557 22578261 24349105 27205305 30832679 37630435 40058205 56224297 59851671 73047315 82786957 92498037 99752785 112891305 154163395 168672891 248360871 281121485 299258355 339159469 413934785 462490185 618467267 843364455 955813049 1017478407 1241804355 1695797345 1855401801 2867439147 3092336335 4779065245 5087392035 9277009005 10513943539 14337195735 31541830617 52569717695 157709153085