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85663678464 = 21833721319
BaseRepresentation
bin100111111000111110…
…1000000000000000000
322012010001022202021000
41033301331000000000
52400414400202324
6103204153532000
76121553152500
oct1176175000000
9265101282230
1085663678464
1133369a05591
1214728714000
138102626650
14420903ba00
1523658209c9
hex13f1f40000

85663678464 has 912 divisors, whose sum is σ = 334704820800. Its totient is φ = 21403533312.

The previous prime is 85663678459. The next prime is 85663678469. The reversal of 85663678464 is 46487636658.

85663678464 is a `hidden beast` number, since 8 + 56 + 63 + 67 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (85663678459) and next prime (85663678469).

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85663678469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4508614647 + ... + 4508614665.

It is an arithmetic number, because the mean of its divisors is an integer number (367000900).

Almost surely, 285663678464 is an apocalyptic number.

85663678464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85663678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167352410400).

85663678464 is an abundant number, since it is smaller than the sum of its proper divisors (249041142336).

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

85663678464 is an equidigital number, since it uses as much as digits as its factorization.

85663678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 85663678464 in words is "eighty-five billion, six hundred sixty-three million, six hundred seventy-eight thousand, four hundred sixty-four".