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51711387069969 = 3411219238232
BaseRepresentation
bin10111100000111111111101…
…10110110110111000010001
320210002120010110212011210000
423300133332312312320101
523234214410042214334
6301551514441400213
713615011243456324
oct1360377666667021
9223076113764700
1051711387069969
1115527748984900
12597201aa99069
1322b1494318273
14caabb73c27bb
155ea1e9eca299
hex2f07fedb6e11

51711387069969 has 135 divisors (see below), whose sum is σ = 89636357136249. Its totient is φ = 29682982208880.

The previous prime is 51711387069913. The next prime is 51711387069997. The reversal of 51711387069969 is 96996078311715.

The square root of 51711387069969 is 7191063.

It is a perfect power (a square), and thus also a powerful number.

51711387069969 is a `hidden beast` number, since 517 + 1 + 1 + 38 + 70 + 6 + 9 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 51711387069969 - 221 = 51711384972817 is a prime.

It is a super-2 number, since 2×517113870699692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51711387069897 and 51711387069906.

It is not an unprimeable number, because it can be changed into a prime (51711387062969) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13526387592 + ... + 13526391414.

Almost surely, 251711387069969 is an apocalyptic number.

51711387069969 is the 7191063-rd square number.

51711387069969 is the 3595532-nd centered octagonal number.

It is an amenable number.

51711387069969 is a deficient number, since it is larger than the sum of its proper divisors (37924970066280).

51711387069969 is an frugal number, since it uses more digits than its factorization.

51711387069969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 51711387069969 in words is "fifty-one trillion, seven hundred eleven billion, three hundred eighty-seven million, sixty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 19 27 33 57 81 99 121 171 209 297 361 363 513 627 891 1083 1089 1539 1881 2299 3249 3267 3823 3971 5643 6897 9747 9801 11469 11913 16929 20691 29241 34407 35739 42053 43681 62073 72637 103221 107217 126159 131043 186219 217911 309663 321651 378477 393129 462583 653733 799007 1135431 1179387 1380103 1387749 1961199 2397021 3406293 3538161 4140309 4163247 5883597 7191063 8789077 12420927 12489741 14615329 15181133 21573189 26367231 37262781 37469223 43845987 45543399 64719567 79101693 111788343 131537961 136630197 160768619 166992463 237305079 277691251 394613883 409890591 482305857 500977389 711915237 833073753 1183841649 1229671773 1446917571 1502932167 1768454809 2499221259 3054603761 4340752713 4508796501 5276133769 5305364427 7497663777 9163811283 13022258139 13526389503 15828401307 15916093281 22492991331 27491433849 33600641371 47485203921 47748279843 58037471459 82474301547 100801924113 142455611763 143244839529 174112414377 247422904641 302405772339 427366835289 522337243131 638412186049 907217317017 1567011729393 1915236558147 2721651951051 4701035188179 5745709674441 17237129023323 51711387069969