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86049441321361 = 7173721647902821
BaseRepresentation
bin10011100100001011110010…
…011000100001000110010001
3102021200020122111221221010121
4103210023302120201012101
542234313223434240421
6503002322334430241
724060603241665550
oct2344136230410621
9367606574857117
1086049441321361
11254663aa35a061
129798b5b962381
1339025732a324b
141736b5ac05d97
159e35241abd41
hex4e42f2621191

86049441321361 has 32 divisors (see below), whose sum is σ = 106946358469632. Its totient is φ = 67538678584320.

The previous prime is 86049441321359. The next prime is 86049441321407. The reversal of 86049441321361 is 16312314494068.

It is a cyclic number.

It is not a de Polignac number, because 86049441321361 - 21 = 86049441321359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86049441321299 and 86049441321308.

It is not an unprimeable number, because it can be changed into a prime (86049441321061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94860331 + ... + 95763151.

It is an arithmetic number, because the mean of its divisors is an integer number (3342073702176).

Almost surely, 286049441321361 is an apocalyptic number.

It is an amenable number.

86049441321361 is a deficient number, since it is larger than the sum of its proper divisors (20896917148271).

86049441321361 is a wasteful number, since it uses less digits than its factorization.

86049441321361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924529.

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 86049441321361 in words is "eighty-six trillion, forty-nine billion, four hundred forty-one million, three hundred twenty-one thousand, three hundred sixty-one".

Divisors: 1 7 17 37 119 259 629 4403 21647 151529 367999 800939 902821 2575993 5606573 6319747 13615963 15347957 33404377 95311741 107435699 233830639 567874409 3975120863 19543366187 136803563309 332237225179 723104548919 2325660576253 5061731842433 12292777331623 86049441321361