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86336444463368 = 23112661134932741
BaseRepresentation
bin10011101000010111000101…
…000110100111100100001000
3102022200200110021000011102212
4103220113011012213210020
542304014014240311433
6503342225352044252
724120413402311031
oct2350270506474410
9368620407004385
1086336444463368
1125567098127600
1298246b8693688
133923651590328
1417469c5b99a88
159eac20839d48
hex4e85c51a7908

86336444463368 has 48 divisors (see below), whose sum is σ = 178204323031980. Its totient is φ = 39184467696000.

The previous prime is 86336444463341. The next prime is 86336444463391.

86336444463368 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 73756526538244 + 12579917925124 = 8588162^2 + 3546818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86336444463298 and 86336444463307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66826523 + ... + 68106218.

Almost surely, 286336444463368 is an apocalyptic number.

86336444463368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86336444463368 is an abundant number, since it is smaller than the sum of its proper divisors (91867878568612).

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

86336444463368 is a wasteful number, since it uses less digits than its factorization.

86336444463368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134933430 (or 134933415 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 68.

The spelling of 86336444463368 in words is "eighty-six trillion, three hundred thirty-six billion, four hundred forty-four million, four hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 661 968 1322 2644 5288 7271 14542 29084 58168 79981 159962 319924 639848 134932741 269865482 539730964 1079461928 1484260151 2968520302 5937040604 11874081208 16326861661 32653723322 65307446644 89190541801 130614893288 178381083602 356762167204 713524334408 981095959811 1962191919622 3924383839244 7848767678488 10792055557921 21584111115842 43168222231684 86336444463368