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86669554212864 = 2133271572713947
BaseRepresentation
bin10011101101001101010011…
…111111011110000000000000
3102100212112021020202201220100
4103231031103333132000000
542324443221334302424
6504155235450042400
724153445230414330
oct2355152377360000
9370775236681810
1086669554212864
1125685395978737
129879182419400
133948b99b1388c
141758b8635b0c0
15a04719b44dc9
hex4ed353fde000

86669554212864 has 672 divisors, whose sum is σ = 289087894158336. Its totient is φ = 24508001157120.

The previous prime is 86669554212863. The next prime is 86669554212877. The reversal of 86669554212864 is 46821245596668.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×866695542128642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86669554212792 and 86669554212801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86669554212863) 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 47 ways as a sum of consecutive naturals, for example, 21958334539 + ... + 21958338485.

It is an arithmetic number, because the mean of its divisors is an integer number (430190318688).

Almost surely, 286669554212864 is an apocalyptic number.

86669554212864 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 86669554212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144543947079168).

86669554212864 is an abundant number, since it is smaller than the sum of its proper divisors (202418339945472).

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

86669554212864 is a wasteful number, since it uses less digits than its factorization.

86669554212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4387 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 86669554212864 in words is "eighty-six trillion, six hundred sixty-nine billion, five hundred fifty-four million, two hundred twelve thousand, eight hundred sixty-four".