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59135291061 = 37111743615741
BaseRepresentation
bin110111000100101111…
…001110111010110101
312122122020111001002020
4313010233032322311
51432102113303221
643055534303353
74162266452250
oct670457167265
9178566431066
1059135291061
112309636a480
12b564357b59
13576556bbb2
142c0dac2097
151811897ac6
hexdc4bceeb5

59135291061 has 128 divisors (see below), whose sum is σ = 108270784512. Its totient is φ = 27772416000.

The previous prime is 59135291029. The next prime is 59135291081. The reversal of 59135291061 is 16019253195.

It is not a de Polignac number, because 59135291061 - 25 = 59135291029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59135291081) 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, 10297651 + ... + 10303391.

It is an arithmetic number, because the mean of its divisors is an integer number (845865504).

Almost surely, 259135291061 is an apocalyptic number.

59135291061 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

59135291061 is a deficient number, since it is larger than the sum of its proper divisors (49135493451).

59135291061 is a wasteful number, since it uses less digits than its factorization.

59135291061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883.

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 59135291061 in words is "fifty-nine billion, one hundred thirty-five million, two hundred ninety-one thousand, sixty-one".

Divisors: 1 3 7 11 17 21 33 43 51 61 77 119 129 183 187 231 301 357 427 473 561 671 731 903 1037 1281 1309 1419 2013 2193 2623 3111 3311 3927 4697 5117 5741 7259 7869 8041 9933 11407 14091 15351 17223 18361 21777 24123 28853 34221 40187 44591 55083 56287 63151 79849 86559 97597 120561 133773 168861 189453 201971 239547 246863 292791 312137 350201 442057 490501 605913 683179 740589 936411 1050603 1073567 1326171 1471503 1728041 2049537 2451407 2715493 3220701 3433507 3852211 4196671 5184123 5953417 7354221 7514969 8146479 10300521 11556633 12590013 15058643 17860251 19008451 22544907 26965477 29376697 41673919 45175929 46163381 57025353 65487587 80896431 88130091 105410501 125021757 138490143 165645073 196462761 255996931 316231503 323143667 458413109 496935219 767990793 969431001 1159515511 1375239327 1791978517 2815966241 3478546533 5375935551 8447898723 19711763687 59135291061