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85663280517 = 3177942435011
BaseRepresentation
bin100111111000111101…
…1011110110110000101
322012010000120112101020
41033301323132312011
52400414244434032
6103204141221353
76121546604343
oct1176173366605
9265100515336
1085663280517
1133369763601
1214728561859
138102517489
144208d76993
152365792b2c
hex13f1eded85

85663280517 has 32 divisors (see below), whose sum is σ = 122520545280. Its totient is φ = 53046040320.

The previous prime is 85663280497. The next prime is 85663280537. The reversal of 85663280517 is 71508236658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85663280497) and next prime (85663280537).

It is not a de Polignac number, because 85663280517 - 215 = 85663247749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 85663280517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85663280537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17092542 + ... + 17097552.

It is an arithmetic number, because the mean of its divisors is an integer number (3828767040).

Almost surely, 285663280517 is an apocalyptic number.

It is an amenable number.

85663280517 is a deficient number, since it is larger than the sum of its proper divisors (36857264763).

85663280517 is a wasteful number, since it uses less digits than its factorization.

85663280517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9353.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 85663280517 in words is "eighty-five billion, six hundred sixty-three million, two hundred eighty thousand, five hundred seventeen".

Divisors: 1 3 17 51 79 237 1343 4029 4243 5011 12729 15033 72131 85187 216393 255561 335197 395869 1005591 1187607 5698349 6729773 17095047 20189319 21261673 63785019 361448441 1084345323 1679672167 5039016501 28554426839 85663280517