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86915878686054 = 23411792114329201
BaseRepresentation
bin10011110000110010101110…
…000100110000110101100110
3102101202002002000201111010000
4103300302232010300311212
542343012204420423204
6504504334202242130
724210315333036435
oct2360625604606546
9371662060644100
1086915878686054
112576a8a9698220
1298b8a67ab6346
13396619456a322
141766a7295d11c
15a0ad34e2e039
hex4f0cae130d66

86915878686054 has 160 divisors (see below), whose sum is σ = 215167961226240. Its totient is φ = 26002630368000.

The previous prime is 86915878686011. The next prime is 86915878686071. The reversal of 86915878686054 is 45068687851968.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2976454654 + ... + 2976483854.

It is an arithmetic number, because the mean of its divisors is an integer number (1344799757664).

Almost surely, 286915878686054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86915878686054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107583980613120).

86915878686054 is an abundant number, since it is smaller than the sum of its proper divisors (128252082540186).

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

86915878686054 is a wasteful number, since it uses less digits than its factorization.

86915878686054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50448 (or 50439 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 86915878686054 in words is "eighty-six trillion, nine hundred fifteen billion, eight hundred seventy-eight million, six hundred eighty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 158 162 198 237 297 474 594 711 869 891 1422 1738 1782 2133 2607 4266 5214 6399 7821 12798 15642 21143 23463 29201 42286 46926 58402 63429 70389 87603 126858 140778 175206 190287 232573 262809 321211 380574 465146 525618 570861 642422 697719 788427 963633 1141722 1395438 1576854 1670297 1712583 1927266 2093157 2306879 2365281 2890899 3340594 3425166 4186314 4613758 4730562 5010891 5781798 6279471 6920637 8672697 10021782 12558942 13841274 15032673 17345394 18373267 18838413 20761911 25375669 26018091 30065346 36746534 37676826 41523822 45098019 50751338 52036182 55119801 62285733 76127007 90196038 110239602 124571466 135294057 152254014 165359403 186857199 228381021 270588114 330718806 373714398 456762042 496078209 617396743 685143063 992156418 1234793486 1370286126 1488234627 1852190229 2055429189 2976469254 3704380458 4110858378 5556570687 6791364173 11113141374 13582728346 16669712061 20374092519 33339424122 40748185038 48774342697 50009136183 61122277557 97548685394 100018272366 122244555114 146323028091 183366832671 292646056182 366733665342 438969084273 536517769667 550100498013 877938168546 1073035539334 1100200996026 1316907252819 1609553309001 2633814505638 3219106618002 3950721758457 4828659927003 7901443516914 9657319854006 14485979781009 28971959562018 43457939343027 86915878686054