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86411029649 = 7241101425861
BaseRepresentation
bin101000001111001111…
…1111010110010010001
322021001010121010100112
41100132133322302101
52403432210422044
6103410252131105
76146226430100
oct1203637726221
9267033533315
1086411029649
113371285659a
12148b6a66a95
1381c1404599
14427a3c0037
1523ab24809e
hex141e7fac91

86411029649 has 24 divisors (see below), whose sum is σ = 103990390056. Its totient is φ = 71544480000.

The previous prime is 86411029643. The next prime is 86411029667. The reversal of 86411029649 is 94692011468.

It can be written as a sum of positive squares in 4 ways, for example, as 484660225 + 85926369424 = 22015^2 + 293132^2 .

It is not a de Polignac number, because 86411029649 - 236 = 17691552913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86411029597 and 86411029606.

It is not an unprimeable number, because it can be changed into a prime (86411029643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10022 + ... + 415839.

It is an arithmetic number, because the mean of its divisors is an integer number (4332932919).

Almost surely, 286411029649 is an apocalyptic number.

It is an amenable number.

86411029649 is a deficient number, since it is larger than the sum of its proper divisors (17579360407).

86411029649 is a wasteful number, since it uses less digits than its factorization.

86411029649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426017 (or 426010 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 86411029649 in words is "eighty-six billion, four hundred eleven million, twenty-nine thousand, six hundred forty-nine".

Divisors: 1 7 41 49 101 287 707 2009 4141 4949 28987 202909 425861 2981027 17460301 20867189 43011961 122222107 301083727 855554749 1763490401 2107586089 12344432807 86411029649