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86490016431 = 37132313774489
BaseRepresentation
bin101000010001100110…
…1001110101010101111
322021020122020001211220
41100203031032222233
52404112421011211
6103422153114423
76151206003210
oct1204315165257
9267218201756
1086490016431
11337533a5525
12149193b8a13
13820489b720
144286aa1407
1523b314b806
hex142334eaaf

86490016431 has 32 divisors (see below), whose sum is σ = 148103316480. Its totient is φ = 43637577984.

The previous prime is 86490016427. The next prime is 86490016447. The reversal of 86490016431 is 13461009468.

It is not a de Polignac number, because 86490016431 - 22 = 86490016427 is a prime.

It is a super-2 number, since 2×864900164312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86490026431) 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, 6880966 + ... + 6893523.

It is an arithmetic number, because the mean of its divisors is an integer number (4628228640).

Almost surely, 286490016431 is an apocalyptic number.

86490016431 is a deficient number, since it is larger than the sum of its proper divisors (61613300049).

86490016431 is a wasteful number, since it uses less digits than its factorization.

86490016431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774535.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 86490016431 in words is "eighty-six billion, four hundred ninety million, sixteen thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 13774489 41323467 96421423 179068357 289264269 316813247 537205071 950439741 1253478499 2217692729 3760435497 4118572211 6653078187 12355716633 28830005477 86490016431