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86369355396368 = 241115971889162671
BaseRepresentation
bin10011101000110101101110…
…101111110111010100010000
3102022210211101212201210012022
4103220311232233313110100
542310033414440140433
6503405311211351012
724122660066524022
oct2350655657672420
9368724355653168
1086369355396368
112557a046527690
12982ab62452468
133926797a53595
141748428a64012
159eb9e9cb2698
hex4e8d6ebf7510

86369355396368 has 80 divisors (see below), whose sum is σ = 182765544756480. Its totient is φ = 39213204172800.

The previous prime is 86369355396349. The next prime is 86369355396431.

86369355396368 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86369355396292 and 86369355396301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530863673 + ... + 531026343.

It is an arithmetic number, because the mean of its divisors is an integer number (2284569309456).

Almost surely, 286369355396368 is an apocalyptic number.

86369355396368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86369355396368 is an abundant number, since it is smaller than the sum of its proper divisors (96396189360112).

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

86369355396368 is a wasteful number, since it uses less digits than its factorization.

86369355396368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166176 (or 166170 counting only the distinct ones).

The product of its digits is 13604889600, while the sum is 80.

The spelling of 86369355396368 in words is "eighty-six trillion, three hundred sixty-nine billion, three hundred fifty-five million, three hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 1597 1889 3194 3778 6388 7556 12776 15112 17567 20779 25552 30224 35134 41558 70268 83116 140536 162671 166232 281072 325342 332464 650684 1301368 1789381 2602736 3016733 3578762 6033466 7157524 12066932 14315048 24133864 28630096 33184063 48267728 66368126 132736252 259785587 265472504 307285519 519571174 530945008 614571038 1039142348 1229142076 2078284696 2458284152 2857641457 3380140709 4156569392 4916568304 5715282914 6760281418 11430565828 13520562836 22861131656 27041125672 45722263312 54082251344 490734973843 981469947686 1962939895372 3925879790744 5398084712273 7851759581488 10796169424546 21592338849092 43184677698184 86369355396368