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86385682614 = 2371117106910289
BaseRepresentation
bin101000001110011111…
…1001110100010110110
322020222100220100202110
41100130333032202312
52403404213320424
6103403544551450
76145501121040
oct1203477164266
9266870810673
1086385682614
11336aa513a30
12148aa482586
1381b909b43a
144276ca2a90
1523a8ddcc29
hex141cfce8b6

86385682614 has 128 divisors (see below), whose sum is σ = 228309580800. Its totient is φ = 21096161280.

The previous prime is 86385682577. The next prime is 86385682661. The reversal of 86385682614 is 41628658368.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8390782 + ... + 8401070.

It is an arithmetic number, because the mean of its divisors is an integer number (1783668600).

Almost surely, 286385682614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86385682614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114154790400).

86385682614 is an abundant number, since it is smaller than the sum of its proper divisors (141923898186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86385682614 is a wasteful number, since it uses less digits than its factorization.

86385682614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398.

The product of its digits is 13271040, while the sum is 57.

The spelling of 86385682614 in words is "eighty-six billion, three hundred eighty-five million, six hundred eighty-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1069 1122 1309 2138 2618 3207 3927 6414 7483 7854 10289 11759 14966 18173 20578 22449 23518 30867 35277 36346 44898 54519 61734 70554 72023 82313 109038 113179 127211 144046 164626 174913 199903 216069 226358 246939 254422 339537 349826 381633 399806 432138 493878 524739 599709 679074 763266 792253 1049478 1199418 1224391 1399321 1584506 1924043 2376759 2448782 2798642 3673173 3848086 4197963 4753518 5772129 7346346 8395926 10998941 11544258 13468301 21997882 26936602 32996823 40404903 65993646 76992587 80809806 120988351 153985174 186981997 230977761 241976702 362965053 373963994 461955522 560945991 725930106 846918457 1121891982 1308873979 1693836914 2056801967 2540755371 2617747958 3926621937 4113603934 5081510742 6170405901 7853243874 12340811802 14397613769 28795227538 43192841307 86385682614